Matrices & Determinants
Properties of determinants
Grade 12
Question:
<p>If det(A)=3 and det(B)=2, then det(\(A\)^T\)\(B\)^T) equals:</p>
<p>(A) 6</p>
<p>(B) 3</p>
<p>(C) 2</p>
<p>(D) 1</p>
Step-by-Step Solution
Key Concept: det(A\)^TB^T) = det(BA) = \(\det(B)\) \times \(\det(A)\).
1. det(\(A\)^T\)\(B\)^T)=det(BA)
2. = 2 \times 3 = 6
Correct Answer: 1