Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=4, then det(A\)^5(A\)⁻^5 + \(I)^2) equals:</p>
<p>(A) 1</p>
<p>(B) 4</p>
<p>(C) cannot be determined</p>
<p>(D) 16</p>
Step-by-Step Solution
Key Concept: Addition inside determinant cannot be simplified.
1. Expression involves sum
2. No determinant rule applies
3. Cannot determine
Correct Answer: 3