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