Let A be an nxn matrix and c a scalar. Show that the set W consisting of all vectors α ϵ R^{n }such that Aα = cα is a subspace of R_{n}. (Note:R is a set of Real numbers)

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- December 2nd 2012, 07:53 PMalphaknight61Proving in linear algebra help!
Let A be an nxn matrix and c a scalar. Show that the set W consisting of all vectors α ϵ R

^{n }such that Aα = cα is a subspace of R_{n}. (Note:R is a set of Real numbers) - December 3rd 2012, 03:23 AMemakarovRe: Proving in linear algebra help!
Please show your attempt at verifying that this set satisfies the definition of a subspace.