b Find the inverse of the given matrices 1 1 1 1 0 3 3 3 0 0

b) Find the inverse of the given matrices, (1 1 1 1 0 3 3 3 0 0 5 5 0 0 0 7)

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

Eliminate the 1st column

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

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 5

Eliminate the 3rd column

Make the pivot in the 4th column by dividing the 4th row by 7

There is the inverse matrix on the right

answer =

	A1	A2	A3	A4
1	1	0	0	0
2	1	3	0	0
3	1	3	5	0
4	1	3	5	7