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Determining the linear transformation

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1. For each of the following functions decide whether or not the function is a linear transformation.  Prove your answer in each case :

(a) F : V3(R) ® V2(R),   defined by   F(a1, a2, a3) = (a1 + a2 + a3, 3a2)

(b) G : V3(R) ® V2(R),   defined by   G(a1, a2, a3) = (a1 + 3, a2 - a3).

Reference no: EM13965066

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