- #1

- 63

- 0

0 1 2 3 4

0 0 2 3 4

0 0 0 3 4

0 0 0 0 4

5 4 3 2 1

I used my calculator and found out the answer is 120 which is 5!, but i am not sure what rule or reason the answer is 5!

Can ne one help?

- Thread starter Derill03
- Start date

- #1

- 63

- 0

0 1 2 3 4

0 0 2 3 4

0 0 0 3 4

0 0 0 0 4

5 4 3 2 1

I used my calculator and found out the answer is 120 which is 5!, but i am not sure what rule or reason the answer is 5!

Can ne one help?

- #2

- 56

- 0

- #3

- 63

- 0

My teacher never covered this principle of co-factor expansion

- #4

- 63

- 0

5*( 1 2 3 4) inside parenthesis is the 4x4 matrix

( 0 2 3 4)

( 0 0 3 4)

( 0 0 0 4)

which is 5*4*3*2*1 = 120

- #5

- 56

- 0

det(A) = [tex]\sum[/tex]C

So, in this case, you would fix j at 1 and sum from i = 1 to i = 5.

det(A) = 0+0+0+0+5*det(A

Is this clear?

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