SOLUTION: Find the inverse matrix of : 1 0 -1 1 1 3 3 -2 1

Question 1198415: Find the inverse matrix of :
1 0 -1
1 1 3
3 -2 1
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52792) (Show Source): You can put this solution on YOUR website!
.

You can do it using your calculator.

For instructions, use this video-lesson
https://www.youtube.com/watch?v=1yoja6phh3w

or this textual description
https://www.mathbootcamps.com/finding-the-inverse-of-a-matrix-with-a-ti83-or-ti84-calculator/

Or use online free-of-charge calculator www.reshish.com,
from which @MathLover1 copy-pasted her solution,
but did not provide the proper link to the source.

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Find the inverse matrix of :

Determinant is not zero, therefore inverse matrix exists.

Write the augmented matrix:

Find the pivot in the 1st column in the 1st row

Subtract the 1st row from the 2nd row

Multiply the 1st row by 3

Subtract the 1st row from the 3rd row and restore it

Find the pivot in the 2nd column in the 2nd row

Multiply the 2nd row by -2

Subtract the 2nd row from the 3rd row and restore it

Make the pivot in the 3rd column by dividing the 3rd row by 12

Multiply the 3rd row by -1

Subtract the 3rd row from the 1st row and restore it

Multiply the 3rd row by 4

Subtract the 3rd row from the 2nd row and restore it

There is the inverse matrix on the right

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