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    Linear transofmrations

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    1. For each of the following functions decide whether or not the function is a 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)

    This is a linear transformation. In fact, we can prove

    a) For a=(a1, ...

    Solution Summary

    This shows how to determine if a function is a linear transformation.

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