2.  In this lesson we will go over how to solve a basic matrix equation such as the following: These are matrices, not variables.

3.  Before we do anything we should solve the equation for the unknown matrix X.

4. Add A to both sides. Multiply both sides by 1/3, because you will be performing scalar multiplication. You can plug-in the matrices A and B and solve for the matrix X.

5.  Notice that the same rules that apply to variable equations also apply to matrix equations.  In this example we are using the additive and multiplicative properties of matrix equations.

6. For this example, let’s assume that the values of matrix A and matrix B are given by the following:

7. Plug-in values for matrices A and B. Add A and B together. Multiply by the scalar 1/3. The matrix X.