Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=3, then det(A\)^2A^{-1}) equals:</p>
<p>(A) 3</p>
<p>(B) 9</p>
<p>(C) 1</p>
<p>(D) 27</p>
Step-by-Step Solution
Key Concept: Simplify first: $A$^2A^{-1} = $A$.
1. $A$^2A^{-1} = $A$
2. $\det(A)$=3
Correct Answer: 1