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    Linear transformations

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    Is the following transformation linear?
    T: R^3 -> R^2 defined by T(x,y,z)=(x,y)

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    Solution Preview

    For each transformation T you need to show that the following holds: 1.)T(X+Y)=T(X)+T(Y) and 2.)T(kX)=kT(X) where X and Y are in R^3 and k is a scalar.
    First, you need to write X and ...

    Solution Summary

    This shows how to determine if a transformation is linear.