alleryIf $A$ and $B$ are matrices for which $AB$ is defined, then $(AB)'$ equals:
A$A'B'$
B$B'A'$
C$A'B$
D$AB'$
Answer & Solution
Correct answer: B. $B'A'$
For matrix transpose, the order reverses on products: $(AB)' = B'A'$.
This generalises to $(ABC)' = C'B'A'$ and to arbitrary products of compatible matrices.
It is a standard pitfall to write $(AB)' = A'B'$
the order *must* flip.
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