DeterminantHard

Question

If A is a skew - symmetric matrix and n is an even positive integer, then An is

Options

A.a symmetric matrix
B.a skew-symmetric matrix
C.a diagonal matrix
D.none of these

Solution

AT = - A
(An)T = (AAA ------- A)T = (AT AT AT ------- AT) = (AT)n for all n ∈ N
(-A)n  = (-1)n An
(An)T =

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