Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=2, then det(A\)^3A⁻^2A) equals:</p>
<p>(A) 2</p>
<p>(B) 4</p>
<p>(C) 8</p>
<p>(D) 16</p>
Step-by-Step Solution
Key Concept: Simplify exponent: 3 - 2 + 1 = 2 \Rightarrow $A$^2.
1. Expression = $A$^2
2. det(A$^2) = 2^2 = 4
Correct Answer: 2