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      1 #include <iostream>
      2 #include <Eigen/Dense>
      3 
      4 using namespace Eigen;
      5 int main()
      6 {
      7   Matrix2d mat;
      8   mat << 1, 2,
      9          3, 4;
     10   Vector2d u(-1,1), v(2,0);
     11   std::cout << "Here is mat*mat:\n" << mat*mat << std::endl;
     12   std::cout << "Here is mat*u:\n" << mat*u << std::endl;
     13   std::cout << "Here is u^T*mat:\n" << u.transpose()*mat << std::endl;
     14   std::cout << "Here is u^T*v:\n" << u.transpose()*v << std::endl;
     15   std::cout << "Here is u*v^T:\n" << u*v.transpose() << std::endl;
     16   std::cout << "Let's multiply mat by itself" << std::endl;
     17   mat = mat*mat;
     18   std::cout << "Now mat is mat:\n" << mat << std::endl;
     19 }
     20