How do I determine what the original matrix was that yielded these two eigenvalues with the corresponding eigenvectors: Eigenvector: [0,1] Eigenvector: [1,0]
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Originally Posted by Ideasman How do I determine what the original matrix was that yielded these two eigenvalues with the corresponding eigenvectors: Eigenvector: [0,1] Eigenvector: [1,0] Work: I thought the following matrix would work, but it didn't : I got the right eigenvalues, but not the right eigenvectors, grr.
See if this helps: The correct matrix will work if Where x is the eigenvector and is the eigenvalue. You are given eigenvalues and eigenvectors.
Originally Posted by galactus See if this helps: The correct matrix will work if Where x is the eigenvector and is the eigenvalue. You are given eigenvalues and eigenvectors. I tried. I can't figure it out. EDIT: Yay I figured it out. Good old PDP^(-1). The matrix, incase you were wondering, is [[2,0],[0,-3]]
Last edited by Ideasman; December 11th 2007 at 06:38 PM.