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Eigendecomposition of a matrix
Matrix decomposition
Eigendecomposition of a matrix
In linear algebra, eigendecomposition (also known as eigenvalue decomposition or EVD) is a factorization of a matrix A {\displaystyle A} into a canonical form given by A = Q D Q − 1 {\displaystyle A=QDQ^{\mathsf {-1}}} , where D {\displaystyle D} is a diagonal matrix containing the eigenvalues of A {\displaystyle A} on the diagonal, and Q {\displaystyle Q} is a matrix whose columns are the corresponding eigenvectors of A {\displaystyle A} . Only diagonalizable matrices can be factorized in this way. When the matrix being factorized is a normal or real symmetric matrix, the decomposition is called "spectral...
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