| #include <iostream> |
| #include <Eigen/Dense> |
| |
| int main() { |
| 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 |
| } |
