Question: Let A R n x n , v R n , and R such that A is invertible and A v = v . (i)

Let ARnxn , vRn , and R such that A is invertible and Av=v .

(i) Is 1 necessarily an eigenvalue for A1 ? Can you explain why or why not?

(ii) Can an eigenvector for A1 be found? If so, can you explain why/how you found it.

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