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Eigendecomposition of a real symmetric matrix

The general result from eigendecomposition of a matrix:

M = Q D Q^{- 1}

becomes:

M = O D O^{T}

where

O

is an orthogonal matrix, and therefore has

O^{- 1} = O^{T}

.

 Ancestors (8)

 Incoming links (1)

Sylvester's law of inertia

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The eigendecomposition of a real symmetric matrix is done with orthogonal matrices