Column Space and Nullspace

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Session Overview

Figure excerpted from 'Introduction to Linear Algebra' by G.S. Strang

The column space of a matrix A tells us when the equation Ax = b will have a solution x. The null space of A tells us which values of x solve the equation Ax = 0.

Session Activities

Lecture Video and Summary

Suggested Reading

  • Read Section 3.1 through 3.2 in the 4th or 5th edition.

Problem Solving Video

Check Yourself

Problems and Solutions

Work the problems on your own and check your answers when you're done.


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