Education Technology

Solving Systems with Row Operations 1

Published on 08/28/2011

Activity Overview

Use row operations to reduce an augmented matrix to its reduced row-echelon form.

Objectives

When a system of equations is presented:

  • Identify its augmented matrix form
  • Determine which row operation is used that transforms one matrix into another
  • Determine which row operations are needed to transform the matrix to its reduced row-echelon form

Vocabulary

  • Augmented matrix
  • Reduced row-echelon form
  • Scalar multiplier

About the Lesson

This lesson involves using row operations to reduce an augmented matrix to its reduced row-echelon form. As a result, students will:

  • Enter the coefficients of a system into an augmented matrix.
  • Choose the correct row operations that result in the reduced row-echelon form of the matrix.
  • Translate the answer matrix into a solution of the system, algebraically.