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