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  3. let v and w be vector spaces over r with...

Question: let v and w be vector spaces over r with...

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Let V and W be vector spaces over R with dim(V) = n and dim(W) = m, and let Lin(V.W) denote the set of all linear transformations L : V → W (a) For linear maps L, Me Lin(V, W), we define the linear map L+ M by For a scalar λ e F, we define the linear map by (AL)(v)-AL(v) - L(v) Show that these operations turn Lin(V, W) into a vector space.

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