using System;
using static System.Math;
using static System.Console;
class main{
static void Main(string[] argv){
	int n=7;
	if(argv.Length>0)n=int.Parse(argv[0]);
	matrix A = new matrix(n,n);
	var rnd=new System.Random(1);
	for(int i=0;i<n;i++)
	for(int j=i;j<n;j++)A[i,j]=A[j,i]=rnd.NextDouble();
if(n<5)A.print("A=");
	vector v=new vector(n);
	for(int i=0;i<n;i++)v[i]=rnd.NextDouble()-0.5;
	v/=v.norm();
	(double e,vector x) = matlib.eigen0(A,v);
	WriteLine($"n={n} e={e}");
	var Ax=A*x;
	var ex=e*x;
	double miss=(Ax-ex).norm();
	WriteLine($"|A*x-e*x|={miss}");
}
}