Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=k, then det(A\)^n(A\)⁻^n + \(I)^p) equals:</p>
<p>(A) k^n</p>
<p>(B) k^p</p>
<p>(C) cannot be determined</p>
<p>(D) 1</p>
Step-by-Step Solution
Key Concept: Generalized sum power \to still not reducible.
1. Expression includes (A$⁻^n + $I)^p
2. Cannot simplify determinant
3. Answer: cannot be determined
Correct Answer: 3