Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=2, then det(A\)^3A^4A⁻^4A⁻^3A^2A⁻^2) equals:</p>
<p>(A) 1</p>
<p>(B) 2</p>
<p>(C) 4</p>
<p>(D) 8</p>
Step-by-Step Solution
Key Concept: Exponent sum: 3 + 4 - 4 - 3 + 2 - 2 = 0 \Rightarrow $I$.
1. Expression = $I$
2. det(I)=1
Correct Answer: 1