Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=2, then det(A\)^3A^{-1}) equals:</p>
<p>(A) 2</p>
<p>(B) 4</p>
<p>(C) 8</p>
<p>(D) 1</p>
Step-by-Step Solution
Key Concept: Simplify: $A$^3A^{-1} = $A$^2.
1. $A$^3A^{-1} = $A$^2
2. det(A$^2)=2^2=4
Correct Answer: 2