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In this video, we learn what it means for a transformation to be one-to-one and/or onto, and how to determine whether a given linear transformation has these properties. Textbook: https://webspace.ship.edu/jehamb/ela/ Playlist: https://www.youtube.com/playlist?list=PLNr8B4XHL5kGwxiRYcUW3dCQGuA09d3xO We learned about the Spanning Columns Theorem in Lecture 9: https://youtu.be/6d4JSJGsNXw?si=ap-0TQw5Srlnrj91 We learned about the Linearly Independent Columns Theorem in Lecture 16: https://youtu.be/T4vOtJmChws?si=rcTVrXfqnhnVAh8B 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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