If A and B are two square matrices which are skew symmetric then (AB)T equals

Question -

If A and B are two square matrices which are skew symmetric then $(A B)^{T}$ equals to

Options:

A . AB

B . BA

C . -AB

D . -BA

Answer: Option B
:
B
Required Expression,

(A B)^{T} = B^{T} . A^{T}

= (-B) . (-A) (Since A and B are said to be skew symmetric)
= BA

∴

(b) is the right option.

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