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1. The problem statement, all variables and given/known data

Find the linear transformation T: R3 --> R2 such that:

T(1,0,0) = (2,1)

T(0,1,1) = (3,2)

T(1,1,0) = (1,4)

3. The attempt at a solution

I've been doing some exercises about linear transformations (rotations and reflections mostly) but I've never seen something like this... I don't know how to even start :S I did some research and only found examples on proving the two conditions for a transformation to be linear...

Any help please?

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# Linear transformation T: R3 -> R2

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