Question

|-1 2 -3|
|2 0 1|
|3 -4 4|

Answer 1

what to do with the matrix?

Answer 2

evaluate the determinant

Answer 3

ive got a nice shortcut to a 3x3 that is similar to a 2x2

Answer 4

copy the first 2 columns on the end of it, and multiply the diags up and down; top goes negative and bottom goes positive, then add the results

Answer 5

\[\left[\begin{matrix}-1 & 2 & -3 \\ 2 & 0 & 1 \\ 3 &-4 &4\end{matrix}\right]=-1\left[\begin{matrix}0 & 1 \\ -4 & 4\end{matrix}\right]-2\left[\begin{matrix}2 & 1 \\ 3 & 4\end{matrix}\right]-3\left[\begin{matrix}2 & 0 \\ 3 & -4\end{matrix}\right]\]

\[-1\left[\begin{matrix}0 & 1 \\ -4 & 4\end{matrix}\right] =-1*[0*4-(-4)*1]=-4\]


\[-2\left[\begin{matrix}2 & 1 \\ 3 & 4\end{matrix}\right]=-2*[2*4-3]=-10\]

\[-3\left[\begin{matrix}2 & 0 \\ 3 & -4\end{matrix}\right]=-3[2*(-4)-3*0]=24\]

-4 - 10 +24=10

Answer 6

-(0 +4 +16)
-1 2 -3 -1 2
2 0 1 2 0
3 -4 4 3 -4
+(0 +6 +24)

Answer 7

30-20=10 yep

Answer 8

surdawi has the usual method that is taught ....

Answer 9

just like amistre64 do