# Transformation matrix

I'm kinda confused about transformation matrixes.

If I have [xw1,xw2,yw1,yw2] and [xv1,xv2,yv1,yv2].

What is the transformation matrix that makes (xw, yw) to (xv, yv)?

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Please, explain again your problem and fix some notations. – Sigur Nov 11 '12 at 0:25

Solve these: $$\pmatrix{a&b\\c&d}\cdot\pmatrix{xw_1\\xw_2} =\pmatrix{xv_1\\xv_2}$$
No, not correct. Matrix multiplication is a bit more complicated. LHS looks like: $\pmatrix{a\cdot xw_1+b\cdot xw_2 \\ c\cdot xw_1 + d\cdot xw_2}$, the RHS don't change. So it means $a\cdot xw_1+b\cdot xw_2 = xv_1$ and $c\cdot xw_1 + d\cdot xw_2 = xv_2$. And similarl for the $y$'s. – Berci Nov 11 '12 at 11:27