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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; |
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} |
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