Eigenvector of Hess Matrix (Optimisation problem)












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I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks










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    $begingroup$


    I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



    https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



    Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks










    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



      https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



      Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks










      share|cite|improve this question









      $endgroup$




      I am able to find eigenvalues of Hess Matrix (after plugging in the values of extreme point) but i cant find the eigenvectors of it. The row echleon form of the Matrix shows that it's a full rank matrix and therefore I cant find the basis of the kernel of the matrix (it's not empty since it still has the null vector but that's trivial solution). However, when i put in the value of Matrix in an online calculation, I still got results for the Eigenvectors but I think the row reduction steps are incorrect. When I out in the value of the Matrix in Octave, I received different results.



      https://www.symbolab.com/solver/matrix-eigenvectors-calculator/eigenvectors%20%5Cbegin%7Bpmatrix%7D1%262%5C%5C%202%260%5Cend%7Bpmatrix%7D (Results from online calculator)



      Would be great if someone can help me with the computation for eigenvectors of Hess Matrix... Thanks







      linear-algebra optimization eigenvalues-eigenvectors hessian-matrix






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      asked Jan 3 at 17:07









      JungJung

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