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Matrix Equations

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.

Matrix Equations

A matrix equation is an equation in which a an entire matrix is variable.

Example

The variable A in  the matrix equation below represents an entire matrix.

Matrix Equation

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

Practice Problems

Problem 1

Solve the matrix equation below.

Matrix equations diagram
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