TutorialLinAlgRankRevealing.cpp File Reference

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int	main ()

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main()

int main

(

)

Definition at line 4 of file TutorialLinAlgRankRevealing.cpp.

{
   Eigen::Matrix3f A;
   A << 1, 2, 5,
        2, 1, 4,
        3, 0, 3;
   std::cout << "Here is the matrix A:\n" << A << std::endl;
   Eigen::FullPivLU<Eigen::Matrix3f> lu_decomp(A);
   std::cout << "The rank of A is " << lu_decomp.rank() << std::endl;
   std::cout << "Here is a matrix whose columns form a basis of the null-space of A:\n"
        << lu_decomp.kernel() << std::endl;
   std::cout << "Here is a matrix whose columns form a basis of the column-space of A:\n"
        << lu_decomp.image(A) << std::endl; // yes, have to pass the original A
}