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Eigenvalues and Eigenvectors of Symmetric Real Matrices
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Symmetric matrices over are normal. Thus they are diagonizable by a unitary transformation. With respect to the principal axis transformation of quadrics this property is of fundamental interest. Therefore we give a seperate summary of the properties of eigenvalues and eigenvectors of real symmetric matrices.
Let be a real symmetric - matrix.
is orthogonal, i.e..
Note that the eigenvalues in the main diagonal are in the same ordering as the corresponding eigenvectors as column vectors of
|automatically generated 4/28/2005