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Metode Numerik 2 - Universitas Indonesia

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Sistem persamaan linear:<br />

a<br />

a<br />

a<br />

a<br />

11<br />

21<br />

31<br />

⋮<br />

n1<br />

x<br />

x<br />

x<br />

x<br />

1<br />

1<br />

1<br />

1<br />

+ a<br />

+ a<br />

+ a<br />

+ a<br />

12<br />

22<br />

32<br />

⋮<br />

n2<br />

x<br />

x<br />

x<br />

x<br />

2<br />

2<br />

2<br />

2<br />

Solusi Sistem<br />

Persamaan Linear<br />

+ a<br />

+ a<br />

+ a<br />

+ a<br />

13<br />

23<br />

33<br />

⋮<br />

n3<br />

x<br />

x<br />

x<br />

x<br />

3<br />

3<br />

3<br />

3<br />

⋯<br />

⋯<br />

⋯<br />

⋱<br />

⋯<br />

+ a<br />

+ a<br />

+ a<br />

+ a<br />

1n<br />

2n<br />

3n<br />

⋮<br />

nn<br />

x<br />

x<br />

x<br />

x<br />

n<br />

n<br />

n<br />

n<br />

xj = ?<br />

= b<br />

1<br />

= b<br />

2<br />

= b<br />

⋮<br />

3<br />

= b<br />

n<br />

n buah<br />

persamaan<br />

dengan n buah<br />

unknown<br />

x<br />

j<br />

aij dan bi<br />

diketahui<br />

i, j = 1, 2, …, n<br />

25

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