Introduction - If you have any usage issues, please Google them yourself
Let A be a n order square, and if there is a number of M and nonzero n-dimensional column vector x, so that Ax=mx is established, then M is called a A (characteristic, value) or eigenvalue (eigenvalue). The nonzero n-dimensional column vector x is called the characteristic vector or eigenvector of the (corresponding) eigenvalue m of the matrix A, referred to as the eigenvector of A or the eigenvector of A.