Please could anyone explain this in details because my teacher did not explain this problem in detail in class. She just gave us the answer. I would like to know how to solve this in case she puts a similar problem on a test. Thanks.

A equals

0 1 2 3

1 1 1 1

-2 -2 3 3

1 2 -2 -3

Det (A) is equal to 10.

Use the valuse of det (A) to evaluate

0 1 2 3

-2 -2 3 3

1 2 -2 -3

1 1 1 1

+

0 1 2 3

1 1 1 1

-1 -1 4 4

2 3 -1 -2