Eigenvectors are a crucial part of linear algebra, a branch of mathematics that deals with vector spaces, systems of linear equations, and linear transformations. Finding eigenvectors is essential for understanding and working with linear transformations and matrices.
An eigenvector of a linear transformation is a nonzero vector that, when transformed by the linear transformation, remains parallel to its original direction. In other words, when a linear transformation is applied to an eigenvector, it simply scales the eigenvector by a constant value known as the eigenvalue.
