The question
If A is a matrix with eigenvector v and corresponding eigenvalue $\displaystyle \lambda$ prove that v is also an eigenvector of $\displaystyle A^2$ and find the corresponding eigenvalue.
I'm not sure how to attempt this. Any hints?
The question
If A is a matrix with eigenvector v and corresponding eigenvalue $\displaystyle \lambda$ prove that v is also an eigenvector of $\displaystyle A^2$ and find the corresponding eigenvalue.
I'm not sure how to attempt this. Any hints?