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[obm-l] Matrizes
- To: Lista Obm <obm-l@xxxxxxxxxxxxxx>
- Subject: [obm-l] Matrizes
- From: Ajuda QuimFis <ajudaquimfis@xxxxxxxxxxxx>
- Date: Wed, 13 Jul 2005 15:49:19 -0300 (ART)
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-Mostre que, se A(B-I) = 0 e B(A-I) = 0, então as matrizes A e B são idempotentes.
-Seja A, B, C e O matrizes reais quadradas de ordem n, classifique em V ou F. Justifique.
1)AB=BA
2)AB=AC -> A=0 ou B=C
3)A^2 = 0 -> A=0
4)(A-B)^2 = A^2 -2AB + B^2
-Obter todas as matrizes idempotentes de ordem 2.
X^2 = X
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