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| − | == KUIS ==
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| − | === Problem set 2.1 Nomor 6 halaman 55 ===
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| − |
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| − | Pada soal ini matrix yang diberikan soal adalah sebagai berikut,
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| − | A = [[0, 0, 2, 1, 2], [0, 1, 0, 2, -1], [1, 2, 0, -2, 0], [0, 0, 0, -1, 1], [0, 1, -1, 1, -1]]
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| − |
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| − | B = [1, 1, -4, -2, -1]
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| − |
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| − | sebelum memasuki eliminasi gauss, matrix tersebut harus dikonfigurasi ulang agar bisa dihitung,
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| − |
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| − | konfigurasi matrix,
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| − | A = [[1, 2, 0, -2, 0], [0, 1, 0, 2, -1],[0, 1, -1, 1, -1], [0, 0, 0, -1, 1], [0, 0, 2, 1, 2]]
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| − |
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| − | B = [-4, 1, -1, -2, 1]
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| − |
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| − | maka hasil yang akan didapatkan adalah,
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| − | X1 = 2
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| − | X2 = -2
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| − |
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| − | X3 = 1
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| − |
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| − | X4 = 1
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| − |
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| − | X5 = -1
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| − |
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| − | ==== kode python ====
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| − | import numpy as np
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| − | A=np.array([[1, 2, 0, -2, 0], [0, 1, 0, 2, -1],[0, 1, -1, 1, -1], [0, 0, 0, -1, 1], [0, 0, 2, 1, 2]],float)
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| − | B=np.array([-4, 1, -1, -2, 1],float)
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| − |
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| − | n=len(A)
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| − |
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| − | for k in range (0,n-1):
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| − | for i in range (k+1, n):
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| − | if A[i,k]!=0 :
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| − | lam= A[i,k]/A[k,k]
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| − | A[i,k:n]= A[i, k:n]-(A[k,k:n]*lam)
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| − | B[i]=B[i]-(B[k]*lam)
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| − | print ('matrix A:', '\n', A)
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| − | x=np.zeros(n,float)
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| − | for m in range (n-1, -1, -1):
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| − | x[m]=(B[m]-np.dot(A[m, m+1:n], x[m+1:n]))/A[m,m]
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| − | print ('nilai X', m+1, '=', x[m])
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