eigeemdeemisiä
Eigeemdeemisiä, also known as "eigenvalues" in English, are fundamental concepts in linear algebra and matrix theory. The term originates from the German word *Eigenwert*, meaning "proper value" or "characteristic value," which was introduced by the mathematician David Hilbert in the early 20th century. Eigenvalues describe the scaling factors by which a linear transformation alters vectors in specific directions, known as eigenvectors.
In mathematical terms, for a given square matrix *A*, an eigenvalue *λ* and its corresponding eigenvector *v*
The process of finding eigenvalues involves solving the characteristic equation, which is derived from the determinant
In physics, eigenvalues often represent measurable quantities, such as energy levels in quantum systems. In engineering,