If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).
- 65
- 23
-
17
- 91
The correct answer is: C
Explanation
\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)
= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\)
= \(21 + 20 - 24\)
= 17
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