I have two problems dealing with left eigenvectors:
(1) Show that a left eigenvector y correcpinding to the eigenvalue of A belonging to is a right eigenvector of A* corresponding to (with a bar over it).
(2) Show that if y is a left eigenvector corresponding to the eigenvalue of A belonging to then y(with a bar over it) is a right eigenvector of corresponding to .
I know that the definition of left eigenvector states...the vector y ≠ 0 is said to be a left eigenvector of A if it satisfies y* A = y*. Then is called a left eigenvector of A.