Question

How do you find the determinant of `|(25, 36, 15), (31,-12,-2), (17,15,9)|`?

Answer 1

The answer is `=-3183`

Explanation:

The determination of the determinant is as follows .

`| (25,36,15), (31,-12,-2), (17,15,9) |`

`=25| (-12,-2), (15,9) | -36| (31,-2), (17,9) | +15| (31,-12), (17,15) |`

`=25(-12*9+2*15)-36(31*9+17*2)+15(31*15+17*12)`

`=25*-78-36*313+15*669`

`=-3183`