Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination
MIT OpenCourseWare MIT OpenCourseWare
5.11M subscribers
76,213 views
0

 Published On Jan 20, 2022

A Vision of Linear Algebra
Instructor: Gilbert Strang
View the complete course: https://ocw.mit.edu/2020-vision
YouTube Playlist:    • A Vision of Linear Algebra  

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

show more

Share/Embed