Exercício Calculo Númerico

Exercio 1 pag 36

A = np.array([[1., 2., 3., 4., 5.],[2.,3.,7., 10., 13.],[3.,5.,11., 16., 21.],[2., -7., 7., 7., 2.],[1., 4., 5., 3., 10.]])

A

b = np.array([[2.],[2.],[17.],[57.],[7]])

b

np.linalg.solve(A,b)

Resultado:

array([[-128.15384615],

[ 15. ],

[ 51.5 ],

[ 14.73076923],

[ -22.65384615]])

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Exercio 2 pag 36

import numpy as np

from gaussElimin import gaussElimin

from numpy import linalg

A = np.array([[0.8754, 3.0081, 0.9358, 1.1080],[2.4579, -0.8758, 1.1516, -4.5148],[5.2350, -0.8473, -2.3582, 1.1419],[2.1015, 8.1083, -1.3232, 2.1548]])

A

b = np.array([[0.8472],[1.1221],[2.5078],[-6.4984]])

b

gaussElimin(A,b)

Resultado:

array([[ 1.00006463],

[-1.00000865],

[ 2.00018761],

[ 1.00008472]]

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Exercicio 7 pag37

Gauss

import numpy as np

from gaussElimin import gaussElimin

from numpy import linalg

A = np.array([[1., 2., 3., 4.],[3., 2., 8., 4.],[2., 1., 9., 7.],[4., 2., -8., -4.]])

A

b = np.array([[20.],[26.],[10.],[2.]])

b

gaussElimin(A,b)

Resultado:

array([[ -3.84 ],

[ 13.72 ],

[ 2.736],

[ -2.952]])

Matricial

import numpy as np

from numpy import linalg

A = np.array([[1., 2., 3., 4.],[3., 2., 8., 4.],[2., 1., 9., 7.],[4., 2., -8., -4.]])

A

b = np.array([[20.],[26.],[10.],[2.]])

b

np.linalg.solve(A,b)

Resultado:

array([[ -3.84 ],

[ 13.72 ],

[ 2.736],

[ -2.952]])

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Exercicio 7.2 pag 37

import numpy as np

from gaussElimin import gaussElimin

from numpy import linalg

A = np.array([[2., 10., -6., 4., 8.],[-3., -12., -9., 6., 3.],[-1.,