Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=4, then det(A\)^3A⁻^2) equals:</p>
<p>(A) 4</p>
<p>(B) 16</p>
<p>(C) 64</p>
<p>(D) 1</p>
Step-by-Step Solution
Key Concept: Simplify: $A$^3A⁻^2 = $A$.
1. $A$^3A⁻^2 = $A$
2. $\det(A)$=4
Correct Answer: 1