# Use matrix inverse to solve system of equations

Use matrix inverse to solve system of equations is a mathematical instrument that assists to solve math equations.

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## How to Solve a System of Equations using Inverse of Matrices?

Using 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 linear systems with matrices (video)

0. A = 1 4 2 4 − 3 0 2 2 2. b = 10 6 14. To find the inverse of A: 1.Find the Determinant: Δ A =-10. 2.Find the matrix of cofactors: − 6 − 8 14 − 4 − 2 6 6 8 − 19. Cofactor for

## Matrices to solve a system of equations

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

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## Algebra 2 solving 2x3 matrices

Using this process with the inverse matrix, we conclude that the solution to the system is ???\vec{a}=(x,y)=(6,3)???. In other words, this equation is saying that we can find the