| Brian Silverman | 72890c2 | 2015-09-19 14:37:37 -0400 | [diff] [blame^] | 1 | #include <iostream> |
| 2 | #include <Eigen/Dense> |
| 3 | |
| 4 | using namespace std; |
| 5 | using namespace Eigen; |
| 6 | |
| 7 | int main() |
| 8 | { |
| 9 | Matrix3f A; |
| 10 | A << 1, 2, 5, |
| 11 | 2, 1, 4, |
| 12 | 3, 0, 3; |
| 13 | cout << "Here is the matrix A:\n" << A << endl; |
| 14 | FullPivLU<Matrix3f> lu_decomp(A); |
| 15 | cout << "The rank of A is " << lu_decomp.rank() << endl; |
| 16 | cout << "Here is a matrix whose columns form a basis of the null-space of A:\n" |
| 17 | << lu_decomp.kernel() << endl; |
| 18 | cout << "Here is a matrix whose columns form a basis of the column-space of A:\n" |
| 19 | << lu_decomp.image(A) << endl; // yes, have to pass the original A |
| 20 | } |