Q. 245.0( 3 Votes )

If B is a skew-sy

Answer :

B is a skew – symmetric matrix, then

BT = -B …(i)


Consider


(ABAT)T = (AT)T BT AT


[ (AB)T = BTAT]


(ABAT)T = ABTAT [ (AT)T = A]


(ABAT)T = A(- B)AT [from (i)]


(ABAT)T = - ABAT


ABAT is a skew – symmetric matrix


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