2. (20%) Let, and Hn, be the set of all n x n symmetric matrices. Prove that Hn is a subspace of the space of n x n matrices. Find a basis for H4. What is dim(H4)?
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, and Hn, be the set of all n x n symmetric matrices. Prove that Hn is a subspace of the space of n x n matrices. Find a basis for H4. What is dim(H4)?