Education Technology

Algebra 2: Solving Systems with Row Operations 2
by Texas Instruments

Published on August 27, 2011

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

About the Lesson

This lesson involves using matrices as a tool to solve a system of three equations with three unknowns. As a result, students will:

  • Enter the coefficients of a system into an augmented matrix.
  • Find the reduced row-echelon form of the matrix using the rref( ) command on the TI-Nspire.
  • Translate the answer matrix into a solution of the system, both algebraically and geometrically.