SOLUTION: Evaluate the following determinants. | -1 0 0 | | 0 2 -5 | | 0 5 0 | | -2 -1 0| 3| -3 5 -2| | 0 8 -1|

Algebra ->  Trigonometry-basics -> SOLUTION: Evaluate the following determinants. | -1 0 0 | | 0 2 -5 | | 0 5 0 | | -2 -1 0| 3| -3 5 -2| | 0 8 -1|      Log On


   

Question 1017170: Evaluate the following determinants.
| -1 0 0 |
| 0 2 -5 |
| 0 5 0 |
| -2 -1 0|
3| -3 5 -2|
| 0 8 -1|
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.
Evaluate the following determinants.
| -1 0 0 |
| 0 2 -5 |
| 0 5 0 |
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This one is really simple. It is equal to

(-1)*det%28matrix%282%2C2%2C+2%2C+-5%2C+5%2C+0%29%29 = (-1)*(-5*(-5)) = -25.

Regarding the second determinant, I can not read your writing.

On calculating determinants of 3x3-matrices see the lesson Co-factoring the determinant of a 3x3 matrix in this site.