18.06SC | Fall 2011 | Undergraduate

Linear Algebra

Unit I: Ax = b and the Four Subspaces

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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Course Info

As Taught In
Fall 2011
Learning Resource Types
Lecture Videos
Exams with Solutions
Lecture Notes
Recitation Videos
Problem Sets with Solutions
Course Introduction
Instructor Insights