eigenértékének
Eigenértékének is a Hungarian term that translates to "its eigenvalue" in English. It refers to a scalar value associated with a linear transformation of a vector space that is characteristic of that transformation. When a linear transformation is applied to a vector, and the result is a scalar multiple of the original vector, that scalar is called an eigenvalue. The corresponding vector is known as an eigenvector. Eigenvalues and eigenvectors are fundamental concepts in linear algebra with wide-ranging applications in various fields, including physics, engineering, computer science, and economics.
In mathematical terms, for a square matrix A, a non-zero vector v is an eigenvector if applying
The concept of eigenvalues and eigenvectors is crucial for understanding the behavior of linear systems. For