If \(N = \begin{pmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{pmatrix}\), find \(|N|\).
A
65
B
23
C
17
D
91
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\begin{vmatrix} 3 & 5 & -4 \\ 6 & -3 & -5 \\ -2 & 2 & 1 \end{vmatrix}\)
= \(3(-3 - (-10)) - 5(6 - 10) + (-4)(12 - 6)\)
= \(21 + 20 - 24\)
= 17
Source: Myschool Past Questions Archive (Record #54913)