• anonymous
Let A be a fixed vector in R^(n*n) and let S be the set of all matrices that commute with A; that is, S = { B | AB = BA } Show that S is a subspace of R^(n*n) The work I did so far: if B in S then AB = BA => A (alpha B) = Alpha (AB) = Alpha (BA) => Alpha B is in S. Same closure under addition holds: if B and C are matrices in S then AB=BA and AC=CA => AB + AC = BA+CA => A(B+C) = (B+C)A => B + C in S. However, I don't know how to show that the set S is not empty, and i'm also not sure about what I did above
Mathematics
• Stacey Warren - Expert brainly.com
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SOLVED
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