If v is an eigenvector of an invertible matrix A, which of the following is/are necessarily true?
(1) v is also an eigenvector of 2A
(2) v is also an eigenvector of A^2
(3) v is also an eigenvector of A^-1
A) 1 only
B) 2 only
C) 3 only
D) 1 and 3 only
E) 1,2 and 3
I am pretty sure...