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Mathematics
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OpenStudy (anonymous):
which of the flowing are the subspace of Mn*n (a) the set of all diagonal n*n matrices. (b)the set of all n*n matrices A such that det(A)=0 (c)the set of all n*n matrices a such that tr(A)=0 (d)the set of all symmetric n*n matrices. (e)the set of all n*m matrices A such that A^t=-A. (f)the set of all n*n matrices A for which Ax=0 has only the trivial solution. (g) the set of all n*n matrices A such that AB=BA for some fixed n*n matrix B
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