The Total solution for NCERT class 6-12
If┬аA,┬аB┬аaresymmetric matrices of same order, then┬аAB┬атИТ┬аBA┬аisa
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.