Suppose that V is finite dimensional and T : V → V is an operator such that every non-zero vector in V is an eigenvector
Posted: Tue Sep 07, 2021 7:26 am
Suppose that V is finite dimensional and T : V → V is an
operator such that every non-zero vector in V is an eigenvector for
T. Show that T is a scalar multiple of the
identity.
operator such that every non-zero vector in V is an eigenvector for
T. Show that T is a scalar multiple of the
identity.