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# linear algebra subspace question!?

S = {B in R(2*2)| AB ≠ BA}

determine whether B is a subspace of R(2*2)

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- DavidLv 79 years agoFavorite Answer
um, according to your question S is the proposed subspace, B is just a 2x2 matrix in S.

in any case, the 0-matrix is not in S, since A0 = 0A = 0, for ANY 2x2 matrix A.

thus...not a subspace.

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