Summary
Full Transcript
In this video, we state and prove the Invertible Matrix Theorem. This theorem gives a characterization of necessary and sufficient conditions for a square matrix to be invertible, and the proof connects several ideas from earlier in the course. Textbook: https://webspace.ship.edu/jehamb/ela/ Playlist: https://www.youtube.com/playlist?list=PLNr8B4XHL5kGwxiRYcUW3dCQGuA09d3xO This lecture references several earlier lectures: Lecture 9 - Matrix Equations: https://youtu.be/6d4JSJGsNXw Lecture 16 - Characterization of Linearly Dependent Sets: https://youtu.be/T4vOtJmChws Lecture 20 - One-to-One and Onto Transformations: https://youtu.be/SLNYuh9YSUI Lecture 22 - Properties of Matrix Multiplication: https://youtu.be/5V4ycOkqNWE Lecture 23 - The Inverse of a Matrix: https://youtu.be/I5JwBt7f2us Lecture 24 - Elementary Matrices and Inverses: https://youtu.be/jB0DpinJ124 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.
Continue this lesson in the app
Install CourseHive on Android or iOS to keep learning while you move.
