Answer to Question #16320 in Linear Algebra for noor

Question #16320
find the inverse to the matrix M = 1 -1 2 -1 3 2 2 1 -3 and use this inverse to solve the system of equations x-y+2z=1 -x+3y+2z=1 2x+y-3z=5
Expert's answer
The inverse matrix is

11/26 1/26 4/13
N^(-1) = -1/26 7/26 2/13
& 7/26 3/26& -1/13


By the way, you can watch our video explaining how to find inverse matrices



Let's solve the given system:

& & & & (1)
(x, y, z) = (1) * N^(-1) = (45/26, 23/26, 1/13).
& & & & & & & & (5)

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