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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)

##### Solution Summary

This shows how to determine if a transformation is linear.

##### 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 ...

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