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