How would you compute the determinant Compute the determinan

How would you compute the determinant?

Compute the determinant of the given matrix A by using row operations to reduce to echelon form, as illustrated in this example. A= [ ] det(A) =

Solution

Using the row reduced echleon procedure

The matrix determinant will be equal to

1 * (1 - 0) + 0 * (0 - 0) + 0 * (0 - 1)

= 1

Hence the determinant will be equal to 1

Row Operation 1:

-4 2 -2 1 0 1 3 -1 1

multiply the 1st row by -1/4

1 -1/2 1/2 1 0 1 3 -1 1