Question: This exercise makes the notation of writing '+' between sets more natural. Prove that, where W1, . . . . . ,Wk are subspaces of

This exercise makes the notation of writing '+' between sets more natural. Prove that, where W1, . . . . . ,Wk are subspaces of a vector space,
W, +..+Wi = {w +w2 + .+ Wk |Wi E W1,..., W E Wr),

and so the sum of subspaces is the subspace of all sums.

W, +..+Wi = {w +w2 + .+ Wk |Wi E W1,..., W E Wr),

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