Let V be a finite-dimensional vector space, and let A be any scalar. (a) For any ordered

Chapter 5, Problem 10

(choose chapter or problem)

Let V be a finite-dimensional vector space, and let A be any scalar. (a) For any ordered basis 0 for V, prove that [Aly]/? = XI. (b) Compute the characteristic polynomial of Aly. (c) Show that Aly is diagonalizable and has only one eigenvalue.

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