Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=5, then det(A\)^6(A\)⁻^6 + \(I)(A\)⁻^6 - \(I)) equals:</p>
<p>(A) 1</p>
<p>(B) -1</p>
<p>(C) cannot be determined</p>
<p>(D) 25</p>
Step-by-Step Solution
Key Concept: Again reduces to subtraction \to determinant unknown.
1. Expression expands to difference
2. Cannot compute determinant
3. Answer: cannot be determined
Correct Answer: 3