Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=3, then det(A\)^4A⁻^2A^{-1}) equals:</p>
<p>(A) 3</p>
<p>(B) 9</p>
<p>(C) 27</p>
<p>(D) 81</p>
Step-by-Step Solution
Key Concept: Simplify exponent: 4 - 2 - 1 = 1 \Rightarrow $A$.
1. Expression = $A$
2. $\det(A)$ = 3
Correct Answer: 1