Systems of Equations and Matrices
Videos and lessons with examples and solutions to help High School students learn how to represent a system of linear equations as a single matrix equation in a vector variable.
Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater)
Suggested Learning Targets
- Write a system of linear equations as a single matrix equation.
- Find the inverse of the coefficient matrix in the equation, if it exits. Use the inverse of the coefficient matrix to solve the system. Use technology for matrices with dimensions 3 by 3 or greater.
Common Core: HSA-REI.C.8, HSA-REI.C.9
Using a Matrix Equation to Solve a System of Equations
This video shows how to solve a system of equations by using a matrix equation. The graphing calculator is integrated into the lesson.
This video explains how to solve a system of two linear equations with two unknowns using a matrix equation.
Ex 2: Solve a System of Two Equations Using a Matrix Equation
This video explains how to solve a system of two linear equations with two unknowns using a matrix equation.
Matrices to solve a system of equations
Using the inverse of a matrix to solve a system of equations.
Ex: Solve a System of Three Equations Using a Matrix Equation
This video explains how to solve a system of three linear equations with three unknowns using a matrix equation. Use a calculator to find the inverse of the 3 × 3 matrix.
Solve a 3 variable system with a matrix in the calculator.
Matrix Calculator
3×3 Inverse Matrix Calculator
Enter in your 3×3 matrix to get the inverse.4×4 Matrix Multiplication
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