Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=2, then det(A\)^2A^3A⁻^4A^{-1}) 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: 2 + 3 - 4 - 1 = 0 \Rightarrow \(I\).
1. Expression = \(I\)
2. det(I)=1
Correct Answer: 1