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If A is a Skew Symmetric MAtrix then A.A is_______

a)symmetric   b)skew-symmetric    c)Diagonal    d)nothing can be said

2 Answers

Best answer
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for skew symmetric : A=-$A^T$

(A).A=$-A^T$.A

(A).A=$-A^T$.$-A^T$

A.A=$A^T$.$A^T$

A.A=$(A.A)^T$   (property of symmetric matrix)

hence A.A is symmetric
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I am getting SKEW_SYMMETRIC but answer is symmetric how?

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