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#eigenvalues_and_eigenvectors

Eigenvalues and eigenvectors

Concepts from linear algebra

In linear algebra, an eigenvector or characteristic vector is a vector that has its direction unchanged by a given linear transformation. More precisely, an eigenvector, , of a linear transformation, , is scaled by a constant factor, , when the linear transformation is applied to it: . It is often important to know these vectors in linear algebra. The corresponding eigenvalue, characteristic value, or characteristic root is the multiplying factor .

Sun 15th

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Eigenvalues and eigenvectors Eigenvalue algorithm Eigendecomposition of a matrix Eigenvalues and eigenvectors of the second derivative Pauli matrices Quantum state Linear algebra Generalized eigenvector Eigenvalue perturbation Jacobi eigenvalue algorithm
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