# SOLUTION: x+4y-z=7 x+y+z=2 -2x-2y+2z=-8 convert the system of equations into a matrix equation

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 Click here to see ALL problems on Matrices-and-determiminant Question 519029: x+4y-z=7 x+y+z=2 -2x-2y+2z=-8 convert the system of equations into a matrix equationAnswer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!```This system becomes You didn't say to solve it, but I will anyway, because no doubt you'll be given some later to solve, and you can use this as a model to go by: To solve it find the inverse of the coefficient matrix, which is Then left-multiply both sides of the matrix equation by this inverse: Multiply the first two matrices on the left, and multiply the matrices on the right: Multiplying the matrices on the left (the one on the left is the identity matrix) So the solution is x=2, y=1, z=-1. Edwin```