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Question -

If┬аA,┬аB┬аaresymmetric matrices of same order, then┬аAB┬атИТ┬аBA┬аisa



Answer -

A.┬аSkew symmetric matrix┬аB.┬аSymmetricmatrix

C.┬аZero matrix┬аD.┬аIdentitymatrix


Solution

The correct answer is A.

A┬аand┬аB┬аare symmetricmatrices, therefore, we have:

Thus, (AB┬атИТ┬аBA)is a skew-symmetric matrix.

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