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Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination
Published 1 month ago
Description
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
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