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aero_zeppelin
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Linear transformation T: R3 --> R2
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)
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?
Homework Statement
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)
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?