Suppose that nxn matrices A and B are diagonalizable, and have the same eigenvectors (but not necessarily the same eigenvalues). Show that A and B commute--which means that AB = BA. Cite any theorems or definitions used.

Question

myininaya · Answer

hey megan, i forgot my linear algebra. but here is a link that could help ... http://math.northwestern.edu/~htanaka/PDFs/math290_takehome_solutions.pdf

myininaya · Answer

i was kindof thinking they would have the same eigenvectors

anonymous · Answer

Thanks so much!!

myininaya · Answer

i'm sorry i forgot my stuff.  lol