Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \(\det(A)\)=k, then det(A\)^nA⁻^nA^n) equals:</p>
<p>(A) k^n</p>
<p>(B) 1</p>
<p>(C) k</p>
<p>(D) k^2</p>
Step-by-Step Solution
Key Concept: Exponent sum: n - n + n = n \Rightarrow $A$^n.
1. Expression = $A$^n
2. det = k^n
Correct Answer: 1