Summary
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In this video, we discuss how matrix equations can represent the same relationships as systems of linear equations and vector equations. We also discuss the Spanning Columns Theorem, which can be used to determine whether the columns of a given matrix span R^n. You can find additional examples of questions involving the notion of "span" in this video: https://youtu.be/OpcznwRgUaY?si=HiQA-inCjhwlIS_2 Textbook: https://webspace.ship.edu/jehamb/ela/ Playlist: https://www.youtube.com/playlist?list=PLNr8B4XHL5kGwxiRYcUW3dCQGuA09d3xO Additional "Span" Examples: https://youtu.be/OpcznwRgUaY 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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