Let (a) Prove that A is diagonalizable if (a -d) 2 + 4bc > 0 and is

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Letb. A d

(a) Prove that A is diagonalizable if (a -d)2 + 4bc > 0 and is not diagonalizable if (a - d)2 + 4bc < 0.
(b) Find two examples to demonstrate that if (a - b)2 + 4bc = 0, then A may or may not be diagonalizable.

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