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