Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 1. In this video, I show what a homogeneous system of linear equations is, and show what it means to have only trivial solutions. In the next video, I work out an example that has nontrivial solutions.
Patrick offers a series of 58 short lectures covering everything you need to know for elementary linear algebra. His lectures are well organized, and straight to the point. You will find it to be a great review for classes and exams.