tut_arithmetic_matrix_mul.cpp
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	#include <iostream>
	#include <Eigen/Dense>

	using namespace Eigen;
	int main()
	{
	Matrix2d mat;
	mat << 1, 2,
	3, 4;
	Vector2d u(-1,1), v(2,0);
	std::cout << "Here is matmat:\n" << matmat << std::endl;
	std::cout << "Here is matu:\n" << matu << std::endl;
	std::cout << "Here is u^Tmat:\n" << u.transpose()mat << std::endl;
	std::cout << "Here is u^Tv:\n" << u.transpose()v << std::endl;
	std::cout << "Here is uv^T:\n" << uv.transpose() << std::endl;
	std::cout << "Let's multiply mat by itself" << std::endl;
	mat = mat*mat;
	std::cout << "Now mat is mat:\n" << mat << std::endl;
	}