Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination

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A Vision of Linear Algebra Instructor: Gilbert Strang View the complete course: https://ocw.mit.edu/2020-vision YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61iQEFiWLE21EJCxwmWvvek This new video computes the nullspace of any matrix A. The equation Ax = 0 is reduced to row echelon form Rx = 0. Then all solution vectors are combinations of "special solutions.” We understand the pieces of R from the factorization A = CR. See also Lecture 7 from 18.06 Linear Algebra for more on this topic at https://ocw.mit.edu/1806videoslec7/ License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

Published 2022-01-20 · Watch on YouTube ↗
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