Question: Let A be an n à n matrix such that its characteristic polynomial is Where the λ are distinct (a) Explain why (b) If the

Let A be an n × n matrix such that its characteristic polynomial is
IA - Al| = (A – d)(A - A2) --- (A - A,).

Where the λ are distinct
(a) Explain why

Let A be an n × n matrix such that

(b) If the λi are not distinct but A is diagonalizable, would the same property hold? Explain.

IA - Al| = (A d)(A - A2) --- (A - A,).

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