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[136] | 1 | #include <iostream>
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| 2 | #include <Eigen/Dense>
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| 3 |
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| 4 | using namespace std;
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| 5 | using namespace Eigen;
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| 6 |
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| 7 | int main()
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| 8 | {
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| 9 | Matrix3f A;
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| 10 | A << 1, 2, 5,
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| 11 | 2, 1, 4,
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| 12 | 3, 0, 3;
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| 13 | cout << "Here is the matrix A:\n" << A << endl;
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| 14 | FullPivLU<Matrix3f> lu_decomp(A);
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| 15 | cout << "The rank of A is " << lu_decomp.rank() << endl;
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| 16 | cout << "Here is a matrix whose columns form a basis of the null-space of A:\n"
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| 17 | << lu_decomp.kernel() << endl;
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| 18 | cout << "Here is a matrix whose columns form a basis of the column-space of A:\n"
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| 19 | << lu_decomp.image(A) << endl; // yes, have to pass the original A
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| 20 | }
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