Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If \det(A)=k, then \det(c\(A\)^T) for \(n \times n\) matrix equals:</p>
Step-by-Step Solution
Key Concept: det(cA^T) = c^n det(A$^T) = c^nk.
1. \det($A$^T)=k
2. Multiply by $c^n$
3. Result = $c^n$k
Correct Answer: 1