If and , find
Answer
4
The correct answer is 4 — Solve for det(B): det(B)=12/3=4.
Step-by-step solution
- Use property: det(AB)=det(A)·det(B).
- Set up equation: 3×det(B)=12.
- Solve for det(B): det(B)=12/3=4.
Common mistake: Multiplying instead of dividing to isolate det(B).
Concept tested: Determinant of product of matrices
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