eigenprobleemide
An eigenproblem, also known as an eigenvalue problem, is a fundamental concept in linear algebra. It involves finding specific scalar values called eigenvalues and the corresponding non-zero vectors called eigenvectors for a given linear transformation, typically represented by a square matrix. When a linear transformation is applied to an eigenvector, the result is a scaled version of the same eigenvector. The scaling factor is the corresponding eigenvalue. Mathematically, this relationship is expressed by the equation Av = λv, where A is the matrix representing the linear transformation, v is the eigenvector, and λ is the eigenvalue.
Eigenproblems arise in numerous scientific and engineering disciplines. They are crucial for understanding the behavior of