Question

Find the determinant of the matrix.

-1 2 3
5 0 -2
6 8 1

I got 112. Is that correct?

Answer 1

=-1( 16) -2(5+12) +3(40)

Answer 2

=70

Answer 3

Aw shucks. Thanks.!

Answer 4

= \[-1\left[\begin{matrix} 0 & -2 \\ 8 & 1\end{matrix}\right]\]

Answer 5

\[- (2)\left[\begin{matrix}5 & -2\\ 6 & 1\end{matrix}\right] + (3) \left[\begin{matrix}5 & 0 \\ 6 & 8\end{matrix}\right]\]

Answer 6

where the matricies are determinants

Answer 7

[0 -1] [5 -2] [5 0]
(-1) [8 1] -(2)[6 1] (3)[6 8]

Answer 8

From Mathematica:\[\text{Det}\left[\left( \begin{array}{ccc} -1 & 2 & 3 \\ 5 & 0 & -2 \\ 6 & 8 & 1 \end{array} \right)\right]=70 \]

Answer 9

\[\text{Det}\left[\left( \begin{array}{ccc} a & b & c \\ d & e & f \\ g & h & i \end{array} \right)\right]=-c e g+b f g+c d h-a f h-b d i+a e i \]