alleryThe transpose of the product (AB)^T equals:
A$A^T B^T$ (same order)
B$B^T A^T$ (reversed order)
C$A B$ (no change)
D$(A B)^{-1}$ (the inverse instead)
Answer & Solution
Correct answer: B. $B^T A^T$ (reversed order)
**Transpose reverses order in a product:** (AB)^T = B^T A^T. This is a fundamental matrix algebra rule.
Similarly, (AB)^(-1) = B^(-1) A^(-1).
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