Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Other Topics: Matrices, Sequences, and Series

9-12

45 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• TI-84 Plus C Silver Edition
• TI-84 Plus CE

## Reduce It!

#### Activity Overview

Students write augmented matrices for systems of equations and then solve the system by writing the augmented matrix in reduced row-echelon form.

#### Key Steps

• Problem 1 gives students the opportunity to be walked through the reduced row-echelon form of an augmented matrix to solve a 2 × 2 system of equations.

• They use the rref command to confirm their answers and then extract from the matrix the solution to the system.

Students think about the reduced row-echelon form of augmented matrices for systems in which there are infinitely many or no solutions.

• In Problem 2, students perform the elementary row operation to reduce the augmented matrix for a 3 × 3 system to reduced row-echelon form. They should check their work with the rref command.