Practicing Success
Practicing Success
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If A, B are symmetric matrices of same order, then AB -BA is a : |
Skew-symmetric matrix Symmetric matrix Zero matrix Identity matrix |
Skew-symmetric matrix |
The correct answer is Option (1) → Skew-symmetric matrix Given: $A^T=A,B^T=B$ so $(AB-BA)^T$ $=(AB)^T-(BA)^T$ $=B^TA^T-A^TB^T$ $=BA-AB$ $(AB-BA)^T=-(AB-BA)$ |
