(a) A skew-symmetric matrix satisfies K T = K, as in K = 0 a b a 0 c b c 0 . In the 3 by
Chapter 4, Problem 4.2.13(choose chapter or problem)
(a) A skew-symmetric matrix satisfies K T = K, as in K = 0 a b a 0 c b c 0 . In the 3 by 3 case, why is det(K) = (1) 3 detK? On the other hand detK T = detK (always). Deduce that the determinant must be zero. (b) Write down a 4 by 4 skew-symmetric matrix with detK not zero.
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