Hey all, another subspace related question..

how can I show that if is a subspace of , then is a subspace of R^n, where A is an m*n matrix.

Thanks.

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- August 4th 2011, 04:18 PMOilershow that P is a subspace..
Hey all, another subspace related question..

how can I show that if is a subspace of , then is a subspace of R^n, where A is an m*n matrix.

Thanks. - August 4th 2011, 07:16 PMFernandoRevillaRe: show that P is a subspace..
(i) (because is subspace). Hence .

(ii) For all we have and . Then (because is subspace) . Hence .

(iii) ... Try it.