Pivot the system about the element in row 2 column 2 1 5 8 6

Pivot the system about the element in row 2, column 2.

1 -5 8 6

0 -1 3 -3

0 1 -9 -1

Solution

When we are pivoting we are essentially making all the components in column 0 except the pivot point.

Multiply the 2nd row by -1.

1 -5 8 6

0 1 -3 3

0 1 -9 -1

Substract 3rd row by 2nd row.

1 -5 8 6

0 1 -3 3

0 0    -6 -4

Add 5times of 2nd row to 1st row

1 0 -7 21

0 1 -3 3

0 0    -6 -4

Thus the above system is pivoted about the element in row 2 , column 2.