# How to Solve Systems of Equations using Matrices

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Videos, worksheets, solutions, and activities to help Algebra students learn how to solve systems of equations using the inverse of matrices.
How to write a matrix equation from a systems of equations?
How to solve a systems of equations using a matrix equation?

Solving Linear Systems Using Matrix Algebra
One of the most commonly used applications of square matrices is solving systems of linear equations. The methods of solving systems of linear equations using matrix algebra are much more efficient than hand calculating the systems using substitution. This is especially true when dealing with systems of 3 or more variables. Two methods of matrix algebra include row reducing and finding the inverse.

This video shows how to solve a system of equations by using a matrix equation. The graphing calculator is integrated into the lesson.
Matrices to solve a system of equations
Using the inverse of a matrix to solve a system of equations.

This video shows the use of matrices to solve a two unknown system of equations. The algebra is shown in a step by step method to get the equations into reduced row echelon form. The checking of the solutions is also shown.
Solving a System of Linear Equations Using Inverses

System of Equations - Matrix Method
A tutorial on how to solve a simple system of equations using the Matrix Method or Inverse Method

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