JEE Main 2014 Mathematics question

Let A and B be any two matrices. If A is symmetric and B is skew symmetric, then the matrix AB − BA is

Answer: (3)

Solution

(AB - BA)^T = B^TA^T - A^TB^T = (-B)(A) - (A)(-B) = -BA + AB = AB - BA.

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Question ID VK-104688