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dkyo
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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 with a given matrix A
8) All matices such that A^2 = A
9) All matrices such that trace(A) = 0
Can anyone give me a detailed solution for this questions?