# 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-