# Math Help - matrix exponential

1. ## matrix exponential

x is an evector of A with λ evalue. Show x is an evector of exp(A) with exp(λ) as corresponding evalue.

2. Originally Posted by CarmineCortez
x is an evector of A with λ evalue. Show x is an evector of exp(A) with exp(λ) as corresponding evalue.
I'd start by noting that $e^A = I + A + \frac{A^2}{2!} + ....$ and so $e^Ax = Ix + Ax + \frac{A^2}{2!}x + .... = ....$