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