Huge Linear equation system Do you know any repository of huge matrices of a linear system?, Or to tell a problem in which a lot of linear equations are needed?
I want to solve huge linear equations systems but have not had any luck when trying to find huge matrices.

Let $n\geq 1$ be an integer, and fix $n+1$ points in $\mathbb{R}^2$, say $(x_1,y_1)$, ... , $(x_n,y_n)$, $(x_{n+1},y_{n+1})$, such that $x_1&ltx_2&lt\ldots&ltx_n$. 
Problem: find the coefficients of the unique polynomial $p(x)\in \mathbb{R}[x]$ of degree $n$ that interpolates all $n+1$ points, i.e., find coefficients $a_0,\ldots,a_n\in\mathbb{R}$  such that the polynomial 
$$p(x)=a_0+a_1x+\cdots+a_nx^n$$
satisfies $p(x_k)=y_k$ for all $k=1,\ldots,n+1$.
