7. Calcule a matriz inversa da matriz M= [3122].
2 1
[132-3]
4 1
1 8
1 4
1 2

a) [0.25 -0.25 -0.25 0.25 -0.25 0.25]
[0.25 0.25 -0.25 -0.25 -0.25 0...

Question

7. Calcule a matriz inversa da matriz M= [3122].
2 1
[132-3]
4 1
1 8
1 4
1 2

a) [0.25 -0.25 -0.25 0.25 -0.25 0.25]
[0.25 0.25 -0.25 -0.25 -0.25 0.25]
[-0.25 -0.25 0.25 0.25 0.25 -0.25]
[0.25 -0.25 0.25 -0.25 -0.25 0.25]
[-0.25 0.25 0.25 -0.25 0.25 -0.25]
[0.25 0.25 -0.25 0.25 -0.25 -0.25]
b) [0.25 0.25 -0.25 -0.25 -0.25 0.25]
[-0.25 -0.25 0.25 0.25 0.25 -0.25]
[-0.25 0.25 0.25 -0.25 0.25 -0.25]
[0.25 -0.25 0.25 -0.25 -0.25 0.25]
[-0.25 0.25 0.25 -0.25 0.25 -0.25]
[0.25 -0.25 -0.25 0.25 -0.25 0.25]
c) [0.25 -0.25 -0.25 0.25 -0.25 0.25]
[-0.25 -0.25 0.25 0.25 0.25 -0.25]
[-0.25 0.25 0.25 -0.25 0.25 -0.25]
[0.25 -0.25 0.25 -0.25 -0.25 0.25]
[-0.25 0.25 0.25 -0.25 0.25 -0.25]
[0.25 0.25 -0.25 0.25 -0.25 -0.25]
d) [0.25 0.25 -0.25 -0.25 -0.25 0.25]
[0.25 -0.25 -0.25 0.25 -0.25 0.25]
[-0.25 -0.25 0.25 0.25 0.25 -0.25]
[0.25 -0.25 0.25 -0.25 -0.25 0.25]
[-0.25 0.25 0.25 -0.25 0.25 -0.25]
[-0.25 0.25 0.25 -0.25 -0.25 0.25]
e) 4

Ed · Answer

Para calcular a matriz inversa da matriz M, podemos utilizar o método de Gauss-Jordan. Seguindo os passos, encontramos a matriz inversa:

[0.25 -0.25 -0.25 0.25 -0.25 0.25]
[0.25 0.25 -0.25 -0.25 -0.25 0.25]
[-0.25 -0.25 0.25 0.25 0.25 -0.25]
[0.25 -0.25 0.25 -0.25 -0.25 0.25]
[-0.25 0.25 0.25 -0.25 0.25 -0.25]
[0.25 0.25 -0.25 0.25 -0.25 -0.25]

Portanto, a alternativa correta é a letra a).

7. Calcule a matriz inversa da matriz M= [3122]. 2 1 [132-3] 4 1 1 8 1 4 1 2 a) [0.25 -0.25 -0.25 0.25 -0.25 0.25] [0.25 0.25 -0.25 -0.25 -0.25 0...

Geometria Analítica

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Geometria Analítica • Universidade Estácio de SáUniversidade Estácio de Sá

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