Question: The question is attached below. Note: This is all that the question comes with! Question 3 (6 pts). Let V be a vector space. 2.a,

The question is attached below. Note: This is all that the question comes with!

Question 3 (6 pts). Let V be a vector space. 2.a, 4 pts) Let U and W be subspaces of V, such that V = UO W. Define T : V - V by T(v) = w where v is written (uniquely ) as v = u + w with u in U and w in W. Show that T is a linear operator, U = kerT, W = imT, and T2 = T

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