Eigen

Eigen, in mathematical terms, refers to a special number associated with a matrix, called an eigenvalue, and a corresponding vector called an eigenvector. When the matrix acts on its eigenvector, it only stretches or shrinks that vector, without changing its direction. This concept helps analyze complex systems, such as understanding vibrations, stability, or transformations in data. Eigenvalues and eigenvectors simplify problems by revealing fundamental properties of matrices, making them essential tools in fields like engineering, physics, and data science.