Question: Practice FT2 Q5 - Looking for a detailed, worked solution with theoretical explanation Suppose that V and Ware real vector spaces and that T': V

Practice FT2 Q5 - Looking for a detailed, worked solution with theoretical explanation

Suppose that V and Ware real vector spaces and that T': V -> W is a linear transformation. Furthermore a E R and T(v1) = w1 and T(v2) = W2 Select all of the true statements from the list below. (For this and other multiple selection questions, each correct selected answer adds 1 to your grade and each wrong selected answer subtracts 1 from your grade.) O T(av]) = aT(w1) O T(1) =1 O T(av1 + v2) = T(v1 + av2) O T( V + W) = T(V ) +T(W) O T ( v 1 + v2) = w1+ w2 O T(0) =0 O T(v1+ v2) = T(w1) +T(w2) O T( QV + W) = aT (V ) +T(W)

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