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Question: exercise 14 let v r2x and w p...

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Exercise 1.4 Let V = R2(X) and W = {p E V : p( 1 ) +p(0) = 0} (a) Show that W is a subspace of V. (b) Find a basis for W. Exercise 1.5 Let vi, v2, v3, v4 be linearly independent vectors in a vector space V. Are the vectors v - v2, v2 v3, v3 v4, v4 - vi linearly independent?
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