I have 2 real numbers: a,b. And $$M=(a-b-3)^2+(a-1)^2+(a+b+1)^2+(a+2b+2)^2$$ and a matrix O=(3,1,-1,-2). Now I need to find a matrix A, which meets the following:
\[M=||A(a,b)-O||^2

Question

I have 2 real numbers: a,b. And $$M=(a-b-3)^2+(a-1)^2+(a+b+1)^2+(a+2b+2)^2$$ and a matrix O=(3,1,-1,-2). Now I need to find a matrix A, which meets the following:
\[M=||A(a,b)-O||^2

anonymous · Answer

$$M=\left| \left| A \left(\begin{matrix}a \ b\end{matrix}\right) -O\right| \right|^2$$

anonymous · Answer

what is a matrix? I was always confused with that numbers one above other but not representing a rational number

anonymous · Answer

Ohh sorry, O is a vector.

anonymous · Answer

I think i figured it out. I'll just use Least squares method.