Eigenvectors are a vital a part of linear algebra, a department of arithmetic that offers with vector areas, methods of linear equations, and linear transformations. Discovering eigenvectors is important for understanding and dealing with linear transformations and matrices.
An eigenvector of a linear transformation is a nonzero vector that, when remodeled by the linear transformation, stays parallel to its authentic route. In different phrases, when a linear transformation is utilized to an eigenvector, it merely scales the eigenvector by a continuing worth often called the eigenvalue.
