# Activities

• • • ##### Subject Area

• Math: Algebra II: Matrices

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

Matrix Inverses

#### 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.