computing the nullspace
(2.8 hours to learn)
Summary
The nullspace of a matrix can be computed using Gaussian elimination.
Context
This concept has the prerequisites:
- column space and nullspace
- Gaussian elimination (Gaussian elimination is used to compute the nullspace.)
Goals
- Be able to compute the basis for the nullspace using Gaussian elimination
Core resources (read/watch one of the following)
-Free-
→ MIT Open Courseware: Linear Algebra (2011)
Videos for an introductory linear algebra course focusing on numerical methods.
-Paid-
→ Introduction to Linear Algebra
An introductory linear algebra textbook with an emphasis on numerical methods.
Location:
Sections 3.2, "The nullspace of A: solving Ax = 0," pages 132-140, and 3.3, "The rank and the row reduced form," pages 144-149
See also
-No Additional Notes-