Basketweave for 3 × 3 There is a shortcut for finding the determinant of a 3 × 3 matrix. F...

Basketweave for 3 × 3 There is a shortcut for finding the determinant of a 3 × 3 matrix. For example, let

,

and repeat the first and second columns to the right of the original three columns:

.

Now, add the products along the downward arrows and subtract the products along the upward arrows, getting

(10 + 0 + 4) − (16 + 0+ 10) = −12.

Use the basketweave method to find the determinant for the matrix in Problem.

Problem