Let A be n x n, λ ∈ ℂ, let v be n x 1, and suppose that A ⋅ v = λ ⋅ v. Show that A^j ⋅ v =
The Attempt at a Solution
I haven't been able to get very far but,
Not sure how to prove that for every positive j that this is true. Any thought would be appreciated. Thanks.