If N=⎛⎜⎝35−46−3−5−221⎞⎟⎠ N = ( 3 5 − 4 6 − 3 − 5 − 2 2 1 ) , find |N|.

If $\text{N}=\left(\begin{array}{ccc}3& 5& -4\\ 6& -3& -5\\ -2& 2& 1\end{array}\right)$, find |N|.

Answer Details

3[(-3 × 1) - (2 × -5)] - 5[(6 × 1) - (-5 × -2)] + (-4)[(6 × 2) - (-3 × -2)]
3(-3 + 10) - 5(6 - 10) - 4(12 - 6)
3(7) - 5(-4) - 4(6) = 17