Find the inverse matrix using one of the methods studied in

Find the inverse matrix using one of the methods studied in class for the matrix A = (1 0 0 0 2 1 -3 1 -3)

Solution

Your matrix

Determinant is not zero, therefore inverse matrix exists

Write the augmented matrix

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

Find the pivot in the 2nd column and swap the 3rd and the 2nd rows

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 7

Eliminate the 3rd column

There is the inverse matrix on the right

Result:

	A1	A2	A3
1	1	0	-3
2	0	2	1
3	0	1	-3