Recent content by mihalisla

  1. M

    Undergrad Understanding the Relative Element of a Vector: Definition and Applications

    Hello! I ve come across with something called ' relative element of a vector' Could you provide me a definition and how is it used? Thank you
  2. M

    Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix

    Solved Solved ! lamda=x*x' and the corresponding eigenvector is x
  3. M

    Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix

    How can I define the rank of that matrix that is always one ? Then I can get on from this forum from https://www.physicsforums.com/showthread.php?t=682216
  4. M

    Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix

    Sorry but i still don't get it. What is the eigenvector in the second part of the equation? Could you provide the solution beyond that first step! Thank you !
  5. M

    Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix

    I tried it but i get a nx1 in size matrix. Aren't eigenvalues and eigenvectors for nxn matrices . . . ? How can I get the values ? Thank you .
  6. M

    Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix

    I ll try it . thank you very much!
  7. M

    Undergrad Eigen values and Eigenvectors for a special case of a symmetric matrix

    Hey guys if i have a vector x=[x1,x2, ... xn] what are the eigenvectors and eigenvalues of X^T*X ? I know that i get a n by n symmetric matrix with it's diagonal entries in the form of Ʃ xii^2 for i=1,2,3,. . . ,n Thank you in advance once again!
  8. M

    Undergrad Find the symmetric matrix from eigen vectors

    I have one more but i ll post it in new thread ! P.S I m new here so posting the solution is good , isn't it ?
  9. M

    Undergrad Find the symmetric matrix from eigen vectors

    Solved Problem solved ! Matrix A=[a ,b] [b, d] From A*H.1=lamda1*H.1 I took lamda1=(a*sin(x)+b*cos(x))/sin(x) and lamda1=(b*sin(x)+d*cos)/cos(x) From A*H.2=lamda2*H.2 I took lamda2=(a*cos(x)-b*sin(x))/cos(x) and lamda2=(d*sin(x)-b*cos(x))/sin(x) For each set of...
  10. M

    Undergrad Find the symmetric matrix from eigen vectors

    I started from the eq A*H.1= lamda1*H.1 where H.1 is the first column of H (the A matrix of user HallsofIvy) . Then I did the same for lamda2 (the second eigen value that is unknown) and I got lamda1=]a*sin(x)+b*cos(x)]/sin(x) and another value lamda1=[b*sin(x)+d*cos(x)]/cos(x). Also two...
  11. M

    Undergrad Find the symmetric matrix from eigen vectors

    no there are not fixed eigen values! how do I proceed?
  12. M

    Undergrad Find the symmetric matrix from eigen vectors

    I have made the assumption that matrix A should be symmetric because of the orthogonality of eigen vectors matrix! is this true? so matrix A = (a,b ;b, d) rows separated by ;
  13. M

    Undergrad Find the symmetric matrix from eigen vectors

    ^T is the transpose? and why [1,0]? thanks!
  14. M

    Undergrad Find the symmetric matrix from eigen vectors

    Hello to all of you, Is there a way to get the matrix A=[a b c d] from the eigenvectors (orthogonal) matrix H= sin(x) cos(x) cos(x) -sin(x) or to pose it differently to find a matrix that has these 2 eigenvectors ? Thank you in advance . Michael