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