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