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1 for each of the following functions decide whether or not

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).

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Basic Statistics: 1 for each of the following functions decide whether or not

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