Education Technology

Matrix Inverses

Published on 08/30/2011

Activity Overview

Modify a 2 X 2 matrix being multiplied by another 2 X 2 matrix until their product is the identity matrix.

Objectives

  • Identify the inverse of the matrix
  • Determine that if the determinant of a matrix is 0, then the matrix does not have an inverse

Vocabulary

  • Matrix
  • Inverse
  • Determinant
  • Identity matrix

About the Lesson

This lesson involves modifying a 2 X 2 matrix being multiplied by another 2 X 2 matrix until their product is the identity matrix. As a result, students will:

  • Test their newly learned knowledge and determine the inverse of any 2 X 2 matrix.
  • Determine that, if the determinant of a matrix is 0, then the matrix does not have an inverse.