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#include <iostream>
#include <Eigen/Dense>
using namespace std; using namespace StormEigen;
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
}
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