Question: (a) Show that the only diagonalizable matrix A that has only one eigenvalue λ is the scalar matrix A = λI. (b) Is diagonalizable? 2

(a) Show that the only diagonalizable matrix A that has only one eigenvalue λ is the scalar matrix A = λI.
(b) Is
(a) Show that the only diagonalizable matrix A that has

diagonalizable?

2

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