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Topik_1_-_Sistem_Persamaan_Linear

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MTE3110 LINEAR ALGEBRA

Latihan 1.4

1. Dapatkan penyelesaian bagi sistem linear homogen berikut:

x 1 + 3x 2 x 3 + 2x 4 = 0

x 1 2x 2 + x 3 = 0

x 2 + 3x 3 4x 4 = 0

2. Selesaikan sistem

x 2y + 2z = 0

4x 7y + 3z = 0

2x y + 2z = 0

Jawapan:

1. x 1 = − 18

17 t, x 2 = 2

17 t, x 3 = 22 7 t x 4 = t

2. x = 0 y = 0 z = 0 ( penyelesaian remeh)

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