Go to the documentation of this file.00001 #include <iostream>
00002 #include <Eigen/Dense>
00003
00004 using namespace std;
00005 using namespace Eigen;
00006
00007 int main()
00008 {
00009 Matrix3f A;
00010 A << 1, 2, 5,
00011 2, 1, 4,
00012 3, 0, 3;
00013 cout << "Here is the matrix A:\n" << A << endl;
00014 FullPivLU<Matrix3f> lu_decomp(A);
00015 cout << "The rank of A is " << lu_decomp.rank() << endl;
00016 cout << "Here is a matrix whose columns form a basis of the null-space of A:\n"
00017 << lu_decomp.kernel() << endl;
00018 cout << "Here is a matrix whose columns form a basis of the column-space of A:\n"
00019 << lu_decomp.image(A) << endl;
00020 }