RES.18-010 | Spring 2020 | Undergraduate
A 2020 Vision of Linear Algebra

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


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

Course Info
As Taught In
Spring 2020
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