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Let a be square matrix. Then prove that ...

Let a be square matrix. Then prove that `A A^(T)` and `A^(T) A` are symmetric matrices.

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We have, `(A A^(T))^(T)=(A^(T))^(T)A^(T)=A A^(T)`
Thus, `A A^(T)` is symmetric.
Similarly, it can be proved that `A^(T)A` is symmetric.
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