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

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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