Mathematics, 24.04.2021 01:00 Jaymiegrimes22
Uma matriz quadrada A é considerada idempotente se A2 = A. Seja A uma matriz idempotente.
(a) Mostre que I - A também é idempotente.
(b) Mostre que se A é invertível, então A = I.
(c) Mostre que os únicos autovalores possíveis de A são 0 e 1. (Dica: Suponha que x seja um autovetor com autovalor associado λ e então multiplique x à esquerda por A duas vezes.
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Uma matriz quadrada A é considerada idempotente se A2 = A. Seja A uma matriz idempotente.
(a) Most...
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