- #1

adc85

- 35

- 0

1. Find the determinant of:

3 -1 0 0 0

-1 3 -1 0 0

0 -1 3 -1 0

0 0 -1 3 -1

0 0 0 -1 3

2. Find the determinant of:

0 2 2 2 2

2 0 2 2 2

2 2 0 2 2

2 2 2 0 2

2 2 2 2 0

Now, I know that I need to select a row or column that contains all zeros except for one number. The row or column that the one non-zero number is on would be selected as well. Then you would use the formula (for selecting row i and column j):

det A = (-1)^(i + j) * det A (without row i and column j)

But I can't figure out how to create a row or column full of zeros (except one element) for both of these problems. Thanks for any help.