Homogenous Linear Systems, Trivial and Nontrivial Solutions | Linear Algebra

We introduce homogenous systems of linear equations, which are systems of linear equations where all constant terms are 0. We go over trivial solutions of homogenous systems, and discuss when a homogenous system may have infinitely many solutions - like when it has more unknowns than equations. We will do two problems determining if a homogenous system has nontrivial solutions by inspection, and one example of solving a homogenous system using Gaussian elimination. #linearalgebra

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[WrathofMath]

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[prithamallik]

Your videos are very clear and helpful. Thank you !

[ottosparky]

Thank you for your videos! The videos along with the explanation(s) are clear and concise. Well done young man!

[zb]

As I have commented before, you're an outstanding math teacher. However, with respect to linear algebra, any chance you can make some videos in the spirit of your real analysis and abstract algebra series, based more on rigorous and proof-based linear algebra (i.e. from Sheldon Axler and Friedberg/Ansel texts) rather than the more basic type presented by Anton? I appreciate what you are doing here, but a more "pure math" approach to the subject would be the metaphorical icing-on-the-cake, and a delicious delight!

[Reraph]

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[akami]

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[rahman]

Very nice work explaining the topic. also for m=n case when determinant of coeff matrix A is non zero cant we just say x is 0 vector

[tomkerruish]

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[ShujaWaras-nnfw]

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[brendanodonnell]

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[bossbabyy_]

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[PunmasterSTP]

Homogeneous? More like "Hugely helpful lectures; you're a genius!"

[BetelhemAb]

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