Is the set of 2x2 symmetric matrices a subspace?

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3:31 In here (cA)^T=cA^T=cA. But, Doesn't we need to show that cA is in subspace first?

키키키-ls
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is it a subspace for skew symmetric matrices too?

varsheee
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Well how does finding transpose shows that the matrix is in the subspace of symmetric matrix

Coco-owlc