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)

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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