Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=3, then det(A\)^4A^3A⁻^4) 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: 4 + 3 - 4 = 3 \Rightarrow $A$^3.
1. Expression = $A$^3
2. det(A$^3)=3^3=27
Correct Answer: 3