Definition & Betydelse | Engelska ordet EIGENBASIS

Definition av EIGENBASIS

1. (matematik) egenbas

Exempel på hur man kan använda EIGENBASIS i en mening

• By the spectral theorem, real symmetric (or complex Hermitian) matrices have an orthogonal (or unitary) eigenbasis; i.
• To orthogonally diagonalize , one must first find its eigenvalues, and then find an orthonormal eigenbasis.
• Conversely, diagonalizable operators are easily seen to be semi-simple, as invariant subspaces are direct sums of eigenspaces, and any eigenbasis for this subspace can be extended to an eigenbasis of the full space.

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