P2 - CN - 2015.1.pdf - Universidade Federal do Maranhão CCET DEINF Prof Carlos Gonçalves(Sl.214 Bl.6 Cálculo Numérico – Turmas CP e EE 2ª Prova

# P2 - CN - 2015.1.pdf - Universidade Federal do Maranhão...

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[gab]2pcn2015-1 Universidade Federal do Maranhão CCET - DEINF Prof. Carlos Gonçalves (Sl.214, Bl.6) Nome: GABARITO Matrícula: ____________________________________ Data: 21 de maio, 2015 Duração: 1h40min NOTA Cálculo Numérico Turmas: CP e EE. 2ª Prova: SEL e Zeros de funções. Instruções : Identifique sua “Folha de Respostas” e devolva -a junto com esta folha. Escreva as respostas das questões legivelmente com caneta (azul ou preta). Não serão aceitas provas respondidas com grafite. Boa sorte. QUESTÕES 1) (1,0) Dada uma matriz quadrada 𝐴 ∈ ℝ ?𝑥? , mostre como são calculadas as três normas de matrizes. R. Seja 𝐴 = (? ?,? ), ?, ? = 1,2, ⋯ ? , então teremos as seguintes normas de matrizes: ‖𝐴‖ 1 = ‖𝐴‖ 𝐶 = max 1≤?≤? |? ?,? | ? ?=1 (norma coluna) ‖𝐴‖ 2 = √∑ |? ?,? | 2 ? ?=1 ? ?=1 (norma euclidiana) ‖𝐴‖ = ‖𝐴‖ 𝐿 = max 1≤?≤? |? ?,? | ? ?=1 (norma linha) 2) (1,0) Dentre as três normas de matrizes, qual a mais utilizada computacionalmente? Por quê?

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