Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=k, then det(A\)⁻^2A^5A⁻^2) equals:</p>
<p>(A) k</p>
<p>(B) k^2</p>
<p>(C) k^3</p>
<p>(D) 1</p>
Step-by-Step Solution
Key Concept: Exponent sum: -2 + 5 - 2 = 1 \Rightarrow $A$.
1. Expression = $A$
2. $\det(A)$ = k
Correct Answer: 1