A matrix equation is an equation in which a variable is a matrix. Using your knowledge of equal matrices and algebraic properties of addition and subtraction, you can find the value of this unknown matrix.
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Example
The variable A in the matrix equation below represents an entire matrix.
![Matrix Equation Matrix Equation](images/matrix-equations/matrix-equations.gif)
Since we know how to add and subtract matrices, we just have to do an entry-by-entry addition to find the value of the matrix A.
![Matrix equations](images/matrix-equations/matrix-equations-picture.gif)
Practice Problems
Problem 1
![Matrix equations diagram](images/matrix-equations/matrix-equations-diagram.gif)