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    Subspace Problems: Which R^n*n Subsets are Subspaces?

    Homework Statement Which of the following subsets of R^n*n are in fact subspaces of R^n*n 1) The symmetric matrices 2) The diagonal matrices 3) The nonsingular matrices 4) The singular matrices 5) The triangular matrices 6) The upper triangular matrices 7) All matrices that commute...
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