# 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

3.0

• ##### Report an Issue

Solving Systems with Row Operations 2

#### Activity Overview

Use matrices as a tool to solve a system of three equations with three unknowns.

#### Objectives

• Find and interpret the reduced row-echelon answer matrix for the solution to the system of three equations with three unknowns
• Interpret a consistent and independent system of three equations with three unknowns resulting in an intersection point
• Interpret a consistent and dependent system of three equations with three unknowns resulting in an intersection line
• Interpret an inconsistent system of three equations with three unknowns resulting in no common intersections

#### Vocabulary

• Augmented matrix
• Reduced row-echelon form
• Main diagonal
• Consistent system of equations
• Inconsistent system of equations
• Dependent system of equations
• Independent system of equations