# Answer to Question #16132 in Linear Algebra for noor

Question #16132

find the inverse to the matrix

1 -1 2

N= -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

1 -1 2

N= -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)

## Comments

## Leave a comment