Tutorial_PartialLU_solve.cpp
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	#include <Eigen/Core>
	#include <Eigen/LU>
	#include <iostream>

	using namespace std;
	using namespace Eigen;

	int main()
	{
	Matrix3f A;
	Vector3f b;
	A << 1,2,3, 4,5,6, 7,8,10;
	b << 3, 3, 4;
	cout << "Here is the matrix A:" << endl << A << endl;
	cout << "Here is the vector b:" << endl << b << endl;
	Vector3f x = A.lu().solve(b);
	cout << "The solution is:" << endl << x << endl;
	}