What is the smallest subspace of 3 by 3 matrices that contains all sym- metric matrices and all lower triangular matrices? What is the largest subspace that is contained in both of those subspaces?
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So if a subspace of the set of 3 by 3 matrices contains both the ... of 3 by 3 lower triangular matrices, then it has to also contain all possible ... is a 3 by 3 symmetric matrix and L ...
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