|| Unlocking the Power of Eigenvalues & Eigenvectors | Simplified for 2x2 Matrices || Lecture 4 || Dr Sonendra Gupta ||

#drsonendragupta #mathematics #importantquestions #RGPVpapersolution

Have you ever wondered how to unlock hidden insights from a matrix? 🌟 Dive into the fascinating world of Eigenvalues and Eigenvectors! In this video, we'll break down the concept using a simple 2x2 matrix, showing you how these powerful mathematical tools help us understand systems in a whole new way. Eigenvalues give us the key to understanding the "stretch" and "shrink" of transformations, while Eigenvectors reveal the special directions that stay consistent even after transformation. 🚀 Whether you're a student or a math enthusiast, this video will inspire you to see the beauty in mathematics! Watch, learn, and transform your understanding today! 📊✨ क्या आपने कभी सोचा है कि एक मैट्रिक्स के छिपे हुए रहस्यों को कैसे सुलझाया जाए? 🌟 आइए, Eigenvalues और Eigenvectors की अद्भुत दुनिया में गोता लगाएँ! इस वीडियो में हम एक सरल 2x2 मैट्रिक्स का उपयोग करके इस अवधारणा को समझाएंगे, और दिखाएंगे कि ये शक्तिशाली गणितीय उपकरण हमें प्रणालियों को एक नए दृष्टिकोण से समझने में कैसे मदद करते हैं। Eigenvalues हमें ट्रांसफॉर्मेशन के "खींचाव" और "सिकुड़न" को समझने की कुंजी देते हैं, जबकि Eigenvectors वे विशेष दिशाएँ प्रकट करते हैं जो ट्रांसफॉर्मेशन के बाद भी स्थिर रहती हैं। 🚀 चाहे आप छात्र हों या गणित के शौकीन, यह वीडियो आपको गणित की सुंदरता को देखने के लिए प्रेरित करेगा! देखें, सीखें और अपनी समझ को आज ही बदलें! 📊✨ || How to Pass in Engineering Mathematics-I || https://youtu.be/LIpmxgizySw || Mathematics-1 || July 2024 Paper Solution || https://www.youtube.com/watch?v=ptpsS8JuxjE&list=PLovLEjwi_wfAZ_R1hXmivBsAB6AWGIpJX || Mathematics-1 || December 2023 Paper Solution || https://www.youtube.com/watch?v=n6TN7zcslKA&list=PLovLEjwi_wfAyb3OOEia_6ka6JjNmXIGc || Whether you're a student preparing for exams or someone looking to strengthen your linear algebra concepts, this video covers all the essentials you need! || 📚 Don't forget to subscribe to the channel for more educational content and tutorials. 👍 If you find this video helpful, please like, share, and leave a comment below! 🔔 Turn on the notifications to stay updated with our latest uploads. || Mathematics-II WhatsApp group Link ||

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|| Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP

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|| Unlocking the Power of Eigenvalues & Eigenvectors | Simplified for 2x2 Matrices || Lecture 3 || Dr Sonendra Gupta ||

|| Unlocking the Power of Eigenvalues & Eigenvectors | Simplified for 2x2 Matrices || Lecture 3 || Dr Sonendra Gupta ||

#drsonendragupta #mathematics #importantquestions #RGPVpapersolution Have you ever wondered how to unlock hidden insights from a matrix? 🌟 Dive into the fascinating world of Eigenvalues and Eigenvectors! In this video, we'll break down the concept using a simple 2x2 matrix, showing you how these powerful mathematical tools help us understand systems in a whole new way. Eigenvalues give us the key to understanding the "stretch" and "shrink" of transformations, while Eigenvectors reveal the special directions that stay consistent even after transformation. 🚀 Whether you're a student or a math enthusiast, this video will inspire you to see the beauty in mathematics! Watch, learn, and transform your understanding today! 📊✨ क्या आपने कभी सोचा है कि एक मैट्रिक्स के छिपे हुए रहस्यों को कैसे सुलझाया जाए? 🌟 आइए, Eigenvalues और Eigenvectors की अद्भुत दुनिया में गोता लगाएँ! इस वीडियो में हम एक सरल 2x2 मैट्रिक्स का उपयोग करके इस अवधारणा को समझाएंगे, और दिखाएंगे कि ये शक्तिशाली गणितीय उपकरण हमें प्रणालियों को एक नए दृष्टिकोण से समझने में कैसे मदद करते हैं। Eigenvalues हमें ट्रांसफॉर्मेशन के "खींचाव" और "सिकुड़न" को समझने की कुंजी देते हैं, जबकि Eigenvectors वे विशेष दिशाएँ प्रकट करते हैं जो ट्रांसफॉर्मेशन के बाद भी स्थिर रहती हैं। 🚀 चाहे आप छात्र हों या गणित के शौकीन, यह वीडियो आपको गणित की सुंदरता को देखने के लिए प्रेरित करेगा! देखें, सीखें और अपनी समझ को आज ही बदलें! 📊✨ || How to Pass in Engineering Mathematics-I || https://youtu.be/LIpmxgizySw || Mathematics-1 || July 2024 Paper Solution || https://www.youtube.com/watch?v=ptpsS8JuxjE&list=PLovLEjwi_wfAZ_R1hXmivBsAB6AWGIpJX || Mathematics-1 || December 2023 Paper Solution || https://www.youtube.com/watch?v=n6TN7zcslKA&list=PLovLEjwi_wfAyb3OOEia_6ka6JjNmXIGc || Whether you're a student preparing for exams or someone looking to strengthen your linear algebra concepts, this video covers all the essentials you need! || 📚 Don't forget to subscribe to the channel for more educational content and tutorials. 👍 If you find this video helpful, please like, share, and leave a comment below! 🔔 Turn on the notifications to stay updated with our latest uploads. || Mathematics-II WhatsApp group Link ||

Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx

|| Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP

2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f

3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________ Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI ______________________________________________________________ M.Tech Advanced Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfBryhzZM7T2D74E7tHcV49f ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. www.sonendragupta.blogspot.com Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. Blog: https://sonendragupta.blogspot.com/ 2. Facebook page: https://www.facebook.com/drSonendragupta/

|| Unlocking the Power of Eigenvalues & Eigenvectors | Simplified for 2x2 Matrices || Lecture 2 || Dr Sonendra Gupta ||

|| Unlocking the Power of Eigenvalues & Eigenvectors | Simplified for 2x2 Matrices || Lecture 2 || Dr Sonendra Gupta ||

#drsonendragupta #mathematics #importantquestions #RGPVpapersolution Have you ever wondered how to unlock hidden insights from a matrix? 🌟 Dive into the fascinating world of Eigenvalues and Eigenvectors! In this video, we'll break down the concept using a simple 2x2 matrix, showing you how these powerful mathematical tools help us understand systems in a whole new way. Eigenvalues give us the key to understanding the "stretch" and "shrink" of transformations, while Eigenvectors reveal the special directions that stay consistent even after transformation. 🚀 Whether you're a student or a math enthusiast, this video will inspire you to see the beauty in mathematics! Watch, learn, and transform your understanding today! 📊✨ क्या आपने कभी सोचा है कि एक मैट्रिक्स के छिपे हुए रहस्यों को कैसे सुलझाया जाए? 🌟 आइए, Eigenvalues और Eigenvectors की अद्भुत दुनिया में गोता लगाएँ! इस वीडियो में हम एक सरल 2x2 मैट्रिक्स का उपयोग करके इस अवधारणा को समझाएंगे, और दिखाएंगे कि ये शक्तिशाली गणितीय उपकरण हमें प्रणालियों को एक नए दृष्टिकोण से समझने में कैसे मदद करते हैं। Eigenvalues हमें ट्रांसफॉर्मेशन के "खींचाव" और "सिकुड़न" को समझने की कुंजी देते हैं, जबकि Eigenvectors वे विशेष दिशाएँ प्रकट करते हैं जो ट्रांसफॉर्मेशन के बाद भी स्थिर रहती हैं। 🚀 चाहे आप छात्र हों या गणित के शौकीन, यह वीडियो आपको गणित की सुंदरता को देखने के लिए प्रेरित करेगा! देखें, सीखें और अपनी समझ को आज ही बदलें! 📊✨ || How to Pass in Engineering Mathematics-I || https://youtu.be/LIpmxgizySw || Mathematics-1 || July 2024 Paper Solution || https://www.youtube.com/watch?v=ptpsS8JuxjE&list=PLovLEjwi_wfAZ_R1hXmivBsAB6AWGIpJX || Mathematics-1 || December 2023 Paper Solution || https://www.youtube.com/watch?v=n6TN7zcslKA&list=PLovLEjwi_wfAyb3OOEia_6ka6JjNmXIGc || Whether you're a student preparing for exams or someone looking to strengthen your linear algebra concepts, this video covers all the essentials you need! || 📚 Don't forget to subscribe to the channel for more educational content and tutorials. 👍 If you find this video helpful, please like, share, and leave a comment below! 🔔 Turn on the notifications to stay updated with our latest uploads. || Mathematics-II WhatsApp group Link ||

Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx

|| Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP

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|| Lecture 5 || Numerical Solution of PDE || MTech Advanced Maths || Dr Sonendra Gupta || RGPV ||

 || Lecture 5 || Numerical Solution of PDE || MTech Advanced Maths || Dr Sonendra Gupta || RGPV ||

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Join this channel to get access to the perks: https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA/join || M.Tech Advanced Mathematics Class | In-depth Concepts and Problem Solving || Welcome to our M.Tech Advanced Mathematics class! In this video, we dive deep into advanced mathematical concepts, theories, and problem-solving techniques essential for M.Tech students. Whether you're looking to strengthen your understanding or prepare for exams, this session is designed to help you excel. Don't forget to like, subscribe, and join our WhatsApp group for updates and discussions! 👉 Join our WhatsApp Group: https://chat.whatsapp.com/BDXTqDiR2HS8y4It1J7CDQ

हमारी एम.टेक एडवांस्ड मैथमैटिक्स क्लास में आपका स्वागत है! इस वीडियो में, हम एडवांस्ड गणितीय कॉन्सेप्ट्स, थियोरीज, और प्रॉब्लम-सॉल्विंग तकनीकों को गहराई से समझाते हैं, जो एम.टेक छात्रों के लिए महत्वपूर्ण हैं। अगर आप अपनी समझ को मजबूत करना चाहते हैं या परीक्षा की तैयारी कर रहे हैं, तो यह सेशन आपके लिए है। वीडियो को लाइक, सब्सक्राइब करना न भूलें और हमारे व्हाट्सएप ग्रुप से जुड़ें! To participate, please fill out the Google form linked below: https://forms.gle/xkH9exPixTnjWJ9FA || Mathematics-II WhatsApp group Link || Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx || Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP 2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f 3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________ Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://studio.youtube.com/playlist/PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI/videos ______________________________________________________________ M.Tech Advanced Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfBryhzZM7T2D74E7tHcV49f ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. ---------------------------------------------------------------------------------------------------- Subscribe, share with your Friends and colleagues, and press the bell icon for more interesting lectures. --------------------------------------------------------------------------------------------------- www.sonendragupta.blogspot.in Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. www.sonendragupta.com 2. Blog: https://sonendragupta.blogspot.com/ 3. Facebook page: https://www.facebook.com/drSonendragupta/ 4. Twitter page: https://twitter.com/sonendra_gupta 5. Facebook page: RGPV Papers: https://www.facebook.com/pg/rgpve/posts/?ref=page_internal

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|| Lecture 4 || Fourier Sine & Cosine Transform || MTech Advanced Maths || Dr Sonendra Gupta ||

 || Lecture 4 || Fourier Sine & Cosine Transform || MTech Advanced Maths || Dr Sonendra Gupta ||

#Drsonendragupta#Discrete#Mathematics#Engineering#RGPV

Join this channel to get access to the perks: https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA/join || M.Tech Advanced Mathematics Class | In-depth Concepts and Problem Solving || Welcome to our M.Tech Advanced Mathematics class! In this video, we dive deep into advanced mathematical concepts, theories, and problem-solving techniques essential for M.Tech students. Whether you're looking to strengthen your understanding or prepare for exams, this session is designed to help you excel. Don't forget to like, subscribe, and join our WhatsApp group for updates and discussions! 👉 Join our WhatsApp Group: https://chat.whatsapp.com/BDXTqDiR2HS8y4It1J7CDQ हमारी एम.टेक एडवांस्ड मैथमैटिक्स क्लास में आपका स्वागत है! इस वीडियो में, हम एडवांस्ड गणितीय कॉन्सेप्ट्स, थियोरीज, और प्रॉब्लम-सॉल्विंग तकनीकों को गहराई से समझाते हैं, जो एम.टेक छात्रों के लिए महत्वपूर्ण हैं। अगर आप अपनी समझ को मजबूत करना चाहते हैं या परीक्षा की तैयारी कर रहे हैं, तो यह सेशन आपके लिए है। वीडियो को लाइक, सब्सक्राइब करना न भूलें और हमारे व्हाट्सएप ग्रुप से जुड़ें! To participate, please fill out the Google form linked below: https://forms.gle/xkH9exPixTnjWJ9FA || Mathematics-II WhatsApp group Link || Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx || Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP 2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f 3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________ Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://studio.youtube.com/playlist/PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI/videos ______________________________________________________________ M.Tech Advanced Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfBryhzZM7T2D74E7tHcV49f ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. ---------------------------------------------------------------------------------------------------- Subscribe, share with your Friends and colleagues, and press the bell icon for more interesting lectures. --------------------------------------------------------------------------------------------------- www.sonendragupta.blogspot.in Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. www.sonendragupta.com 2. Blog: https://sonendragupta.blogspot.com/ 3. Facebook page: https://www.facebook.com/drSonendragupta/ 4. Twitter page: https://twitter.com/sonendra_gupta 5. Facebook page: RGPV Papers: https://www.facebook.com/pg/rgpve/posts/?ref=page_internal

#Mtech maths

#Advanced mathematics

#Mtech RGPV Maths

#Mtech maths by dr sonendra Gupta

#Fourier Transform

#MTech Numerical Solution of Partial differential Equation

|| Lecture 2 || Fourier Sine & Cosine Transform || MTech Advanced Maths || Dr Sonendra Gupta ||

 

|| Lecture 2 || Fourier Sine & Cosine Transform || MTech Advanced Maths || Dr Sonendra Gupta ||

#Drsonendragupta#Discrete#Mathematics#Engineering#RGPV

Join this channel to get access to the perks: https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA/join || M.Tech Advanced Mathematics Class | In-depth Concepts and Problem Solving || Welcome to our M.Tech Advanced Mathematics class! In this video, we dive deep into advanced mathematical concepts, theories, and problem-solving techniques essential for M.Tech students. Whether you're looking to strengthen your understanding or prepare for exams, this session is designed to help you excel. Don't forget to like, subscribe, and join our WhatsApp group for updates and discussions! 👉 Join our WhatsApp Group: https://chat.whatsapp.com/BDXTqDiR2HS8y4It1J7CDQ हमारी एम.टेक एडवांस्ड मैथमैटिक्स क्लास में आपका स्वागत है! इस वीडियो में, हम एडवांस्ड गणितीय कॉन्सेप्ट्स, थियोरीज, और प्रॉब्लम-सॉल्विंग तकनीकों को गहराई से समझाते हैं, जो एम.टेक छात्रों के लिए महत्वपूर्ण हैं। अगर आप अपनी समझ को मजबूत करना चाहते हैं या परीक्षा की तैयारी कर रहे हैं, तो यह सेशन आपके लिए है। वीडियो को लाइक, सब्सक्राइब करना न भूलें और हमारे व्हाट्सएप ग्रुप से जुड़ें! To participate, please fill out the Google form linked below: https://forms.gle/xkH9exPixTnjWJ9FA || Mathematics-II WhatsApp group Link || Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx || Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP 2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f 3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________ Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://studio.youtube.com/playlist/PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI/videos ______________________________________________________________ M.Tech Advanced Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfBryhzZM7T2D74E7tHcV49f ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. ---------------------------------------------------------------------------------------------------- Subscribe, share with your Friends and colleagues, and press the bell icon for more interesting lectures. --------------------------------------------------------------------------------------------------- www.sonendragupta.blogspot.in Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. www.sonendragupta.com 2. Blog: https://sonendragupta.blogspot.com/ 3. Facebook page: https://www.facebook.com/drSonendragupta/ 4. Twitter page: https://twitter.com/sonendra_gupta 5. Facebook page: RGPV Papers: https://www.facebook.com/pg/rgpve/posts/?ref=page_internal

#Mtech maths

#Advanced mathematics

#Mtech RGPV Maths

#Mtech maths by dr sonendra Gupta

|| Homogeneous Linear Systems Solved Using Rank Method || Lecture 3 || Dr Sonendra Gupta ||

#drsonendragupta #mathematics #importantquestions #RGPVpapersolution

Welcome to Dr Sonendra Gupta YouTube channel! In this video, we explore solving homogeneous linear systems using the Rank Method. This tutorial aims to provide a clear understanding of how to determine a system's consistency and find its solutions step-by-step. 📌 What You'll Learn: 1. Difference between homogeneous and non-homogeneous systems. 2. Understanding the Rank of a Matrix. 3. Applying the Rank Method to solve homogeneous linear equations. 4. Conditions for Consistency: Unique solutions (Trivial Solution), Infinite solutions (Non-Trivial Solution) 5. Detailed Examples for better understanding. Whether you're a student preparing for exams or someone looking to strengthen your linear algebra concepts, this video covers all the essentials you need! 📚 Don't forget to subscribe to the channel for more educational content and tutorials. 👍 If you find this video helpful, please like, share, and leave a comment below! 🔔 Turn on the notifications to stay updated with our latest uploads. || How to Pass in Engineering Mathematics-I || https://youtu.be/LIpmxgizySw || Mathematics-1 || July 2024 Paper Solution || https://www.youtube.com/watch?v=ptpsS8JuxjE&list=PLovLEjwi_wfAZ_R1hXmivBsAB6AWGIpJX || Mathematics-1 || December 2023 Paper Solution || https://www.youtube.com/watch?v=n6TN7zcslKA&list=PLovLEjwi_wfAyb3OOEia_6ka6JjNmXIGc || Mathematics-1 || July 2023 Paper Solution || https://www.youtube.com/playlist?list=PLovLEjwi_wfAPZzBfCqz7H8ARwpvgKizI || Mathematics-II WhatsApp group Link || Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx || Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP 2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f 3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________ Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI ______________________________________________________________ M.Tech Advanced Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfBryhzZM7T2D74E7tHcV49f ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. ---------------------------------------------------------------------------------------------------- Subscribe, share with your Friends and colleagues, and press the bell icon for more interesting lectures. --------------------------------------------------------------------------------------------------- www.sonendragupta.blogspot.com Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. www.sonendragupta.com 2. Blog: https://sonendragupta.blogspot.com/ 3. Facebook page: https://www.facebook.com/drSonendragupta/ 4. Twitter page: https://twitter.com/sonendra_gupta 5. Facebook page: RGPV Papers: https://www.facebook.com/pg/rgpve/posts/?ref=page_internal

|| Lecture 3 || Fourier Transform || MTech Advanced Maths || Dr Sonendra Gupta ||

 || Lecture 3 || Fourier Sine & Cosine Transform || MTech Advanced Maths || Dr Sonendra Gupta ||

#Drsonendragupta#Discrete#Mathematics#Engineering#RGPV

Join this channel to get access to the perks: https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA/join || M.Tech Advanced Mathematics Class | In-depth Concepts and Problem Solving || Welcome to our M.Tech Advanced Mathematics class! In this video, we dive deep into advanced mathematical concepts, theories, and problem-solving techniques essential for M.Tech students. Whether you're looking to strengthen your understanding or prepare for exams, this session is designed to help you excel. Don't forget to like, subscribe, and join our WhatsApp group for updates and discussions! 👉 Join our WhatsApp Group: https://chat.whatsapp.com/BDXTqDiR2HS8y4It1J7CDQ हमारी एम.टेक एडवांस्ड मैथमैटिक्स क्लास में आपका स्वागत है! इस वीडियो में, हम एडवांस्ड गणितीय कॉन्सेप्ट्स, थियोरीज, और प्रॉब्लम-सॉल्विंग तकनीकों को गहराई से समझाते हैं, जो एम.टेक छात्रों के लिए महत्वपूर्ण हैं। अगर आप अपनी समझ को मजबूत करना चाहते हैं या परीक्षा की तैयारी कर रहे हैं, तो यह सेशन आपके लिए है। वीडियो को लाइक, सब्सक्राइब करना न भूलें और हमारे व्हाट्सएप ग्रुप से जुड़ें! To participate, please fill out the Google form linked below: https://forms.gle/xkH9exPixTnjWJ9FA || Mathematics-II WhatsApp group Link || Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx || Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP 2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f 3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________ Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://studio.youtube.com/playlist/PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI/videos ______________________________________________________________ M.Tech Advanced Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfBryhzZM7T2D74E7tHcV49f ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. ---------------------------------------------------------------------------------------------------- Subscribe, share with your Friends and colleagues, and press the bell icon for more interesting lectures. --------------------------------------------------------------------------------------------------- www.sonendragupta.blogspot.in Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. www.sonendragupta.com 2. Blog: https://sonendragupta.blogspot.com/ 3. Facebook page: https://www.facebook.com/drSonendragupta/ 4. Twitter page: https://twitter.com/sonendra_gupta 5. Facebook page: RGPV Papers: https://www.facebook.com/pg/rgpve/posts/?ref=page_internal

#Mtech maths

#Advanced mathematics

#Mtech RGPV Maths

#Mtech maths by dr sonendra Gupta

#Fourier Transform

#MTech Numerical Solution of Partial differential Equation

|| How to Create Your ABC ID: A Step-by-Step Guide || Dr Sonendra Gupta || RGPV ||

The Academic Bank of Credits (ABC) ID is an initiative by the Government of India to store and digitally manage students' academic credits. This system is designed to enhance students' flexibility and mobility across different institutions by enabling a digital record of academic performance. This ID allows students to transfer their credits seamlessly between universities, thus promoting a unified and flexible education system. एकेडमिक बैंक ऑफ क्रेडिट्स (ABC) आईडी भारत सरकार की एक पहल है, जिसका उद्देश्य छात्रों के शैक्षणिक क्रेडिट्स को डिजिटल रूप से संग्रहीत और प्रबंधित करना है। यह प्रणाली छात्रों को विभिन्न संस्थानों के बीच अधिक लचीलापन और गतिशीलता प्रदान करती है, जिससे उनके शैक्षणिक प्रदर्शन का डिजिटल रिकॉर्ड तैयार होता है। यह आईडी छात्रों को विभिन्न विश्वविद्यालयों के बीच क्रेडिट स्थानांतरण में सहूलियत देती है और एकीकृत एवं लचीले शिक्षा तंत्र को प्रोत्साहित करती है। || Mathematics-II WhatsApp group Link || Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx || Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP 2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f 3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________ Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://studio.youtube.com/playlist/PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI/videos ______________________________________________________________ M.Tech Advanced Mathematics https://www.youtube.com/playlist?list=PLovLEjwi_wfBryhzZM7T2D74E7tHcV49f ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. ---------------------------------------------------------------------------------------------------- Subscribe, share with your Friends and colleagues, and press the bell icon for more interesting lectures. --------------------------------------------------------------------------------------------------- www.sonendragupta.blogspot.in Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. www.sonendragupta.com 2. Blog: https://sonendragupta.blogspot.com/ 3. Facebook page: https://www.facebook.com/drSonendragupta/ 4. Twitter page: https://twitter.com/sonendra_gupta 5. Facebook page: RGPV Papers: https://www.facebook.com/pg/rgpve/posts/?ref=page_internal

|| Mastering the Minor Form of a Matrix || Lecture 2 || Dr. Sonendra Gupta ||

#drsonendragupta

#mathematics

#importantquestions

#RGPVpapersolution Unlock the secrets of the Minor Form of a Matrix in this concise, power-packed tutorial with Dr. Sonendra Gupta! Understand how echelon form transforms complex linear equations, making problem-solving smoother and more efficient. Whether you’re a math enthusiast or a student diving into linear algebra, this guide will sharpen your skills and deepen your understanding of matrices. Don’t miss out on mastering this essential concept!" || मैट्रिक्स के माइनर फॉर्म में महारत हासिल करें || डॉ. सोनेंद्र गुप्ता || डॉ. सोनेंद्र गुप्ता के साथ एक शॉर्ट और प्रभावशाली ट्यूटोरियल में मैट्रिक्स के माइनर फॉर्म के रहस्यों को जानें! समझें कि कैसे इशेलॉन फॉर्म जटिल रेखीय समीकरणों को सरल बनाकर उन्हें हल करने में आसानी करता है। चाहे आप गणित के शौकीन हों या रेखीय बीजगणित के विद्यार्थी, यह गाइड आपके कौशल को निखारेगा और मैट्रिक्स की गहरी समझ प्रदान करेगा। इस महत्वपूर्ण कॉन्सेप्ट में महारत हासिल करने का मौका न गंवाएं!"

|| Mastering the Minor Form of a Matrix || Lecture 1 || Dr. Sonendra Gupta || https://youtu.be/4aUa0bM7XKI

|| How to Pass in Engineering Mathematics-I || https://youtu.be/LIpmxgizySw || Mathematics-1 || July 2024 Paper Solution || https://www.youtube.com/watch?v=ptpsS8JuxjE&list=PLovLEjwi_wfAZ_R1hXmivBsAB6AWGIpJX || Mathematics-1 || December 2023 Paper Solution || https://www.youtube.com/watch?v=n6TN7zcslKA&list=PLovLEjwi_wfAyb3OOEia_6ka6JjNmXIGc || Mathematics-1 || July 2023 Paper Solution || https://www.youtube.com/playlist?list=PLovLEjwi_wfAPZzBfCqz7H8ARwpvgKizI || Mathematics-II WhatsApp group Link || Dear students, share this with your friends, colleagues, and relatives who want to join us. https://chat.whatsapp.com/DgJIcnKDbTf6OwNWRgLOGx || Download the previous year's paper solution || https://sonendragupta.blogspot.com/p/rgpv-papers-and-solutions.html ---------------------------------------------------------------------------------------------------------- Invitation Link for Telegram Group (International Group for Maths background Students and Faculty) Follow this link to join my Telegram group: Maths By Dr Sonendra Gupta https://t.me/mathsbysonendragupta ______________________________________________________________ Invitation Link for WhatsApp Group "Maths For You" 1. Maths for You https://chat.whatsapp.com/HpNrTUIqgUA4OoYUHfKiwP 2. M.Tech Maths Group https://chat.whatsapp.com/KBXd6Bi5VGR88qCQa2by0f 3. 11th & 12th Maths Class Group: https://chat.whatsapp.com/GDdinz1PxhEJQUbElJejjI ----------------------------------------------------------------------------------------------------- Engineering Mathematics-I [July 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAjK7m_jCpzOiuXXbNpuewi ______________________________________________________________

Mathematics-II [June 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfAmGD9CNsalQoWawq678I9c ______________________________________________________________ Engineering Mathematics-III [Dec. 2024] https://www.youtube.com/playlist?list=PLovLEjwi_wfDIgwqD4ZKg-m-whPecvzZq ______________________________________________________________ Discrete Structure Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfApx76rKPy5hK34qVrT51k7 ______________________________________________________________ Graph Theory Lectures Link: https://www.youtube.com/playlist?list=PLovLEjwi_wfCC5A1425GmcO1kNDH_Ol3E ______________________________________________________________ MCA 102 Statistical Mathematics https://studio.youtube.com/playlist/PLovLEjwi_wfCrv5ceTXX9vfISqJJNgCJI/videos ______________________________________________________________ M.Tech Advanced Mathematics https://studio.youtube.com/playlist/PLovLEjwi_wfB5BuLEjnn-t4qU8CJf2Soa/edit ______________________________________________________________ Dear students, if you have any doubts regarding this lecture, you may ask freely and send feedback to improve the lecture series. ---------------------------------------------------------------------------------------------------- Subscribe, share with your Friends and colleagues, and press the bell icon for more interesting lectures. --------------------------------------------------------------------------------------------------- www.sonendragupta.blogspot.in Email Id: sonendragupta@gmail.com --------------------------------------------------------------------------------------------------------- YouTube Channel Dr. Sonendra Gupta https://www.youtube.com/channel/UCUiEPaoUe-yVZxz_QWJgbUA --------------------------------------------------------------------------------------------------------- Social Sites: 1. www.sonendragupta.com 2. Blog: https://sonendragupta.blogspot.com/ 3. Facebook page: https://www.facebook.com/drSonendragupta/ 4. Twitter page: https://twitter.com/sonendra_gupta 5. Facebook page: RGPV Papers: https://www.facebook.com/pg/rgpve/posts/?ref=page_internal

|| 10th November 2024 || MTech Advanced Maths || Dr Sonendra Gupta ||

|| M.Tech Advanced Mathematics Class | In-depth Concepts and Problem Solving || Welcome to our M.Tech Advanced Mathematics class! In this video, we dive deep into advanced mathematical concepts, theories, and problem-solving techniques essential for M.Tech students. Whether you're looking to strengthen your understanding or prepare for exams, this session is designed to help you excel. Don't forget to like, subscribe, and join our WhatsApp group for updates and discussions! 👉 Join our WhatsApp Group: https://chat.whatsapp.com/BDXTqDiR2HS8y4It1J7CDQ हमारी एम.टेक एडवांस्ड मैथमैटिक्स क्लास में आपका स्वागत है! इस वीडियो में, हम एडवांस्ड गणितीय कॉन्सेप्ट्स, थियोरीज, और प्रॉब्लम-सॉल्विंग तकनीकों को गहराई से समझाते हैं, जो एम.टेक छात्रों के लिए महत्वपूर्ण हैं। अगर आप अपनी समझ को मजबूत करना चाहते हैं या परीक्षा की तैयारी कर रहे हैं, तो यह सेशन आपके लिए है। वीडियो को लाइक, सब्सक्राइब करना न भूलें और हमारे व्हाट्सएप ग्रुप से जुड़ें!

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|| Mastering the Echelon Form of a Matrix || Lecture 4 || Dr. Sonendra Gupta ||

Master the Echelon Form | Dr. Sonendra Gupta

What is the Echelon Form, and how does it simplify solving linear equations? Join Dr. Sonendra Gupta in this comprehensive tutorial, where he explains why the Echelon Form of a matrix is essential and how to achieve it. This video is a must-watch for students and math enthusiasts aiming to gain expertise in linear algebra. Learn the concepts in clear, simple language and elevate your math skills to the next level!"

#EchelonForm #Matrix #LinearAlgebra #DrSonendraGupta #MatrixSolutions #MathTutorial

इशेलॉन फॉर्म का मास्टरक्लास | डॉ. सोनेंद्र गुप्ता

इशेलॉन फॉर्म क्या है और यह रेखीय समीकरणों को कैसे आसान बनाता है? डॉ. सोनेंद्र गुप्ता के इस गहन ट्यूटोरियल में जानें कि मैट्रिक्स का इशेलॉन फॉर्म क्यों महत्वपूर्ण है और इसे कैसे हासिल करें। यह वीडियो उन छात्रों और गणित प्रेमियों के लिए एक जरूरी गाइड है जो रेखीय बीजगणित में विशेषज्ञता पाना चाहते हैं। इस जानकारी को आसान भाषा में समझें और अपनी गणित की क्षमताओं को अगले स्तर पर ले जाएं!"

#इशेलॉन_फॉर्म #मैट्रिक्स #रेखीय_बीजगणित #DrSonendraGupta #मैट्रिक्स_सॉल्यूशन #गणित_ट्यूटोरियल