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

Опубликовано: 20 Январь 2022
на канале: MIT OpenCourseWare
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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/

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