Question

what are the properties of characteristic vector and characteristic equation?

Answer 1

Answer:

A nonzero vector x is an eigenvector (or characteristic vector) of a square matrix A if there exists a scalar λ such that Ax = λx. Then λ is an eigenvalue (or characteristic value) of A. Thus, in the above example, x1, x2, and x3 are eigenvectors of A and 2, 3, 1 are eigenvalues of A.