Eigenvectors of a symmetric matrix with different eigenvalues are orthogonal.

math.la.t.mat.symmetric.eig.orthogonal


A real matrix $A$ is symmetric if and only if it is orthogonally diagonalizable (i.e. $A = PDP^{-1}$ for an orthogonal matrix $P$.) Proof and examples.

Created On
August 21st, 2017
7 years ago
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