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