Information about vector subspaces

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Reference no: EM13125380

Suppose that V and W are vector subspaces of Rn. If I define:

V + W = {v+w: v belonging to V, w belonging to W}

How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example)

<(1,0,1), (-1,0,1)> + <(3,2,1)> = R3

Reference no: EM13125380

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