Solving Systems Using Inverses of Matric

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Solving Systems Using Inverses of Matrices : 

Solving Systems Using Inverses of Matrices Another method for solving systems!!!

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A system of equations can be represented using matrices. Can be represented as:

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Normally if we were solving an equation we would divide BUT… you cannot divide matrices so… Instead you will multiply both sides of the equation by the inverse of the coefficient matrix A x = B

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For example: Solve 6x + 5y = 13 5x + 4y = 10 Rewrite as a matrix Multiply by the inverse

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Solve x – y + z = 2 - 2y + z = 2 -2x – 3y = ½