1. Apr 29, 2010

### soc4ward14

Let A be an n x n matrix with eigenvalue $$\lambda$$ . Prove that $$\lambda$$ ^2 is and eigenvalue of A^2 and that if v is an eigenvector for A, then v is also an eigenvector for A^2.

2. Apr 29, 2010

### Fredrik

Staff Emeritus
Do you understand what it means for $\lambda$ to be an eigenvalue of A? Just write down what it means, and you're almost done.

3. Apr 29, 2010

### soc4ward14

I know that Av= $$\lambda$$v but I do not know where to go from that.

4. Apr 29, 2010

### Staff: Mentor

I see that you have reposted in the appropriate Homework forum.

Thanks!