To solve a system of equations using matrices, we transform the augmented matrix into a matrix in row-echelon form using row operations.

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First, we need to find the inverse of the A matrix (assuming it exists!) Using the Matrix Calculator we get this: (I left the 1/determinant outside the matrix to make the numbers simpler) Then

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The answer to the equation is 4.

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This video shows how to solve a system of equations by using a matrix equation. The graphing calculator is integrated into the lesson.http://mathispower4u.y