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 textbook.

Problem Solving Video

  • Watch the recitation video on Vector Subspaces (00:08:45)
  • Recitation video transcript (PDF)

Check Yourself

Problems and Solutions

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


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