Eigendirections
Eigendirections, also known as eigenvectors, are special vectors in linear algebra that do not change direction when a linear transformation is applied to them. Instead, they are simply scaled by a factor. This scaling factor is called an eigenvalue. Mathematically, if A is a square matrix representing a linear transformation, and v is a non-zero vector, then v is an eigenvector of A if Av = λv, where λ is the eigenvalue.
The concept of eigendirections is fundamental to understanding the behavior of linear transformations. They reveal the
Eigendirections have widespread applications in various fields. In physics, they are used to describe the principal