Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If det(\(A\)) = 3, then \(\det(3A)\) for a 3 \times 3 matrix is:</p>
Step-by-Step Solution
Key Concept: det(kA) = kⁿ det(A) where n = order of matrix.
1. $\det(3A)$ = $3^3$ \times det($A$)
2. = 27 \times 3 = 81
Correct Answer: 2