Find the inverse of the matrix using GaussJordan methodSolut

Find the inverse of the matrix (using Gauss-Jordan method)

Solution

Your matrix

Find the pivot in the 1st column and swap the 2nd and the 1st rows

Multiply the 1st row by 2

Subtract the 1st row from the 2nd row and restore it

Multiply the 1st row by 3

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

Make the pivot in the 2nd column by dividing the 2nd row by -3

Multiply the 2nd row by 3

Subtract the 2nd row from the 1st row and restore it

Multiply the 2nd row by -2

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