More things on representing matrices/surfaces. Continued from http://openstudy.com/study#/updates/54608c2ce4b053df5cc39907

Question

kainui · Answer

I kind of forget how I came up with this, I was completely exhausted one morning when I figured this out.$$\LARGE A=\left[\begin{matrix}a & b \ c& d\end{matrix}\right]=\left[\begin{matrix}A(1,1) & A(1,2) \ A(2,1)& A(2,2)\end{matrix}\right]$$ $$ A(x,y)= a \frac{u}{2}(4-u)(3-u)+\frac{b+c}{2}\frac{u}{3}(4-u)(2-u)+ d \frac{u}{4}(3-u)(2-u)-\frac{b-c}{2}v$$ where $$u=x+y \v=x-y$$

kainui · Answer

@dan815 in no specific order: http://openstudy.com/study#/updates/54608c2ce4b053df5cc39907 http://openstudy.com/study#/updates/54645547e4b01f8fb006f9ce http://openstudy.com/study#/updates/54606470e4b053df5cc39513 http://openstudy.com/study#/updates/546056b4e4b053df5cc39375