Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=4, then det(A\)^6A^3A⁻^3) equals:</p>
<p>(A) 4</p>
<p>(B) 16</p>
<p>(C) 64</p>
<p>(D) 4096</p>
Step-by-Step Solution
Key Concept: Simplify: 6 + 3 - 3 = 6 \Rightarrow \(A\)^6.
1. Expression = \(A\)^6
2. det(A\)^6) = 4^6 = 4096
Correct Answer: 4