Answer:
Consider
(B? AB)? = B?A? (B?)? = B?A?B
when
A is symmetric matrix :
Put
in (1)
(B?
AB)? = B?AB
is also
symmetric matrix.
When
A is skew symmetric matrix :
Put
in (1)
(B?AB)?
= B? (?A) B = ?B?AB
is skew
symmetric matrix.
Which
is proved.
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