Question: Suppose x is an eigenvector of A corresponding to an eigenvalue . a. Show that x is an eigenvector of 51 - A. What is

Suppose x is an eigenvector of A corresponding to an eigenvalue λ.
a. Show that x is an eigenvector of 51 - A. What is the corresponding eigenvalue?
b. Show that x is an eigenvector of 51 - 3A + A2. What is the corresponding eigenvalue?

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