👉 In mathematics, an eigenvector is a vector that changes by a factor of a certain constant when multiplied by a scalar. The eigenspace is the set of linearly independent vectors in the space that are associated with each eigenvalue. Eigenvectors and eigenvalues are fundamental concepts in linear algebra and other areas of mathematics, including quantum mechanics. In particular, an eigenvector of a matrix A is a vector v such that when multiplied by A, it becomes a scalar multiple of