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

Duration: 28:16Views: 65.8KLikes: 1.2KDate Created: Jan, 2022

Channel: MIT OpenCourseWare

Category: Education

Description: MIT A 2020 Vision of Linear Algebra, Spring 2020 Instructor: Gilbert Strang View the complete course: ocw.mit.edu/2020-vision YouTube Playlist: 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 ocw.mit.edu/1806videoslec7 License: Creative Commons BY-NC-SA More information at ocw.mit.edu/terms More courses at ocw.mit.edu

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