Matrices & Determinants
Properties of determinants
Grade None
Question:
<p>If det(\(A\)) = 4 and det(\(B\)) = 2, then det(\(A^2\)B) is:</p>
Step-by-Step Solution
Key Concept: det(A^2B) = (det A)^2 \times det B.
1. det($A^2$B) = (det $A$)^2 \times det $B$
2. = $4^2$ \times 2 = 16 \times 2 = 32
Correct Answer: 1