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In this video, we discuss various ways to characterize linearly dependent sets. There are many ways that we can determine that a set of vectors is linearly dependent without relying on the computational method we learned in Lecture 15. This video also includes the Linearly Independent Columns Theorem, which tells us that the columns of a matrix are linearly independent if and only if the matrix has a pivot in every column. You can find more linear independence examples in this video: https://youtu.be/FwEwt2ApkFw Textbook: https://webspace.ship.edu/jehamb/ela/ Playlist: https://www.youtube.com/playlist?list=PLNr8B4XHL5kGwxiRYcUW3dCQGuA09d3xO Linear Independence Problems: https://youtu.be/FwEwt2ApkFw?si=yX8jTsWTxm823a8Y If you are an instructor, contact me for more information about the over 300 online homework problems that I have created for the free MyOpenMath platform (https://www.myopenmath.com). If you are a student interested in learning more and working on practice problems, you can enroll in the Elementary Linear Algebra self-study course on MyOpenMath. Go to https://www.myopenmath.com, and click "Student Self Study" at the top of the page. Follow the instructions to create a student account and enroll in the course.
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