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Let W = {A: A = (Aij)nxn: Aij R and Aj = Aji} and V = {A: A = (Aij)nxn, Aij R}. (a) Show

Let W = {A: A = (Aij)nxn: Aij R and Aj = Aji} and V = {A: A = (Aij)nxn, Aij R}. (a) Show that W is a subspace of V. (b) Find a basis for W and hence its dimension.

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