omaväärtusvektoriks
Omaväärtusvektoriks, or eigenvector in English, is a fundamental concept in linear algebra. An eigenvector of a square matrix is a non-zero vector that, when transformed by the matrix, only changes by a scalar factor. This scalar factor is known as the eigenvalue. Mathematically, if A is a square matrix, v is an eigenvector, and lambda is its corresponding eigenvalue, the relationship is expressed as Av = lambda*v.
Eigenvectors are crucial because they represent directions that are invariant under a linear transformation. They reveal
The computation of eigenvectors typically involves finding the roots of the characteristic polynomial, which is derived