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

Name: Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination
Uploaded: 2022-01-20T16:27:50Z
Duration: 28 min 16 s

28:16

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Description

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.

Slides Used in this Video: Part 6: Finding the Nullspace: Solving Ax = 0 by Elimination (PDF)

See also Lecture 7 from 18.06 Linear Algebra for more on this topic.

Instructor: Gilbert Strang