An eigenvector of a square matrix A is a non-zero vector v, When A v = λ v, the λ is called the eigenvalue of A corresponding to v.
All eigenvalues and eigenvectors satisfy the equation Ax = λx for a given square matrix A.
The online Eigenvectors and Eigenvalues Calculator can get |A|, Singular Matrix (A - c×I), Trace of A, Eigen Value of the matrix A
For matrix
the vector
is an eigenvector with eigenvalue 2.
On the other hand the vector
is not an eigenvector, since
and this vector is not a multiple of the original vector v.