Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=4, then det(A\)^{-1}\(A\)^{-1}\(A) equals:</p>
<p>(A) 1/4</p>
<p>(B) 1</p>
<p>(C) 4</p>
<p>(D) 16</p>
Step-by-Step Solution
Key Concept: Simplify expression: \(A\)^{-1}\(A\)^{-1}\(A\) = \(A\)^{-1}.
1. \(A\)^{-1}\(A\) = \(I\) \Rightarrow expression = \(A\)^{-1}
2. det(A\)^{-1})=1/4
Correct Answer: 1