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