1.

If A = [(2,4),(5,6)], show that (A - AT) is a skew-symmetric matrix.

Answer»

A =  [(2,4),(5,6)] 

AT = [(2,5),(4,6)]

Let B = A - AT[(2,4),(5,6)] - [(2,5),(4,6)] 

= [(0,-1),(1,0)]

Clearly, B is a skew-symmetric matrix

Hence, A - AT is skew-symmetric



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