kidia Posted April 9, 2007 Share Posted April 9, 2007 Please any idea on this one,Given the symmetric matrix [math] A=\begin{bmatrix}0&2&2\\2&0&2\\2&2&0\end{bmatrix} [/math] Find an orthogonal matrix P so that [math] PAP^{-1} [/math] is a diagonal matrix. Link to comment Share on other sites More sharing options...
CPL.Luke Posted April 9, 2007 Share Posted April 9, 2007 he matrix P is formed by finding the orthonormal eigenvectors of the matrix, first find the eigenvectors, and then orthonormalize for a symmetric matrix, all of the eigenvectors are orthogonal for unique eigenvalues. Link to comment Share on other sites More sharing options...
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