
Linear transformation
Given that a linear transformation moves points (1,0) and (2,3) to (2,1) and (1,3), respectively, determine the image of point (3,6).
I don't get the first step to the solution.
[Sol] Letting (3,6) =k(1,0)+L(2,3)
k=1, L=2
How do you know what k and L is?

Never mind, I got it. Simultaneous equations.

Actually I still need help.
I don't get the last step, how do you get (0,7)?
http://i25.tinypic.com/2py15b8.jpg

I found out again (it was so simple)
They tell you what f(1,0) and f(2,3) is.