Use matrix inverse to solve system of equations is a mathematical instrument that assists to solve math equations.
Solve NowUsing the coefficient matrix A the given system can be written as the matrix equation. A [ x 1 x 2 x 3] = [ 2 3 2]. Multiplying it by the inverse matrix A − 1 on the left, we get. [
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Solving a System of Linear Equations By Using an Inverse Matrix Consider the system of linear equations \begin{align*} x_1&= 2, \\ -2x_1 + x_2 &= 3, \\ 5x_1-4x_2 +x_3 &= 2
Create the inverse of the coefficient matrix out of the matrix equation. You can use this inverse formula: In this case, a = 4, b = 3, c = –10, and d = –2. Hence ad – bc = 22. Hence
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