Unit I: Ax = b and the Four Subspaces

Column Space and Nullspace

« Previous | Next »

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.

« Previous | Next »

Course Info

Learning Resource Types

theaters Lecture Videos
grading Exams with Solutions
notes Lecture Notes
theaters Recitation Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations
groups Course Introduction
co_present Instructor Insights