If \( A=\begin{bmatrix}-6 & 4\\ -8 & 5\end{bmatrix} \), then \( |A^{5}|= \) ________ .
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 32
For a square matrix, \( |A^{n}|=|A|^{n} \). Here
\( |A|=(-6)(5)-(4)(-8) \)
\( =-30+32=2 \)
Hence \( |A^{5}|=2^{5}=32 \).