Given that X1 = 4 and v = is an eigenvalue/eigenvector pair of A. Find the digonalization of A, that is, find a diagonal matrix D and an invertible matrix P such that A = PDP-1. Show all of your work. If A can not be diagalized, explain why

7. Let A = 13 21 12 (a) (5 points) Given that X1 = 4 and v = is an eigenvalue/eigenvector pair of A. Find the digonalization
(b) (3 points) Find A2020. You may leave your answer in calculator-ready form. For example, you can leave 999 * 2020 as it is
7. Let A = 13 21 12 (a) (5 points) Given that X1 = 4 and v = is an eigenvalue/eigenvector pair of A. Find the digonalization of A, that is, find a diagonal matrix D and an invertible matrix P such that A = PDP-1. Show all of your work. If A can not be diagalized, explain why
(b) (3 points) Find A2020. You may leave your answer in calculator-ready form. For example, you can leave 999 * 2020 as it is.

 


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