Let v be a subspace of nn and u be a vector in n" that is

Chapter , Problem 82

(choose chapter or problem)

Let v be a subspace of nn and u be a vector in n" that is not in I'. Define W = {v +cu : v is in V and c is a scalar}. (a) Prove that IV is a subspace of n". (b) Detem1ine the dime nsion of W . Justify your answer.

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