tugas1_latihan
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Nama : NIA KURNIA ASIH Amik Wahana Mandiri – SEAMOLEC Batch 3 b Latihan!! 1. x1 + x2 + 2 x3 = 8 -x1 + - 2x2 + 3x3 = 1 3x1 - 7x2 + 4x3 =10 Jawab : Agar lebih mudah x2 kita ganti y dan x3 kita ganti z 1 1 2 8 R2 + R1 1 1 2 8 R3 – R1.3 1 1 2 8 R3/-2 -1 -2 3 1 0 -1 5 9 0 -1 5 9 3 -7 4 10 3 -7 4 10 0 -10 -2 -14 1 1 2 8 R3 + R2.5 1 1 2 8 R3/26 1 1 2 8 0 -1 5 9 0 -1 5 9 0 -1 5 9 0 5 1 7 0 0 26 52 0 0 1 2 Z=2 -y + 5z = 9 -y + 5.2 = 9 -y + 10 = 9 -y = 9 – 10 -y = -1 Y = 1 X + y + 2.z = 8 X + 1 + 2.2 = 8
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Transcript of tugas1_latihan
Nama : NIA KURNIA ASIH
Amik Wahana Mandiri – SEAMOLEC Batch 3 b
Latihan!!
1. x1 + x2 + 2 x3 = 8-x1 + - 2x2 + 3x3 = 13x1 - 7x2 + 4x3 =10
Jawab :Agar lebih mudah x2 kita ganti y dan x3 kita ganti z
1 1 2 8 R2 + R1 1 1 2 8 R3 – R1.3 1 1 2 8 R3/-2 -1 -2 3 1 0 -1 5 9 0 -1 5 9 3 -7 4 10 3 -7 4 10 0 -10 -2 -14
1 1 2 8 R3 + R2.5 1 1 2 8 R3/26 1 1 2 80 -1 5 9 0 -1 5 9 0 -1 5 90 5 1 7 0 0 26 52 0 0 1 2
Z=2-y + 5z = 9-y + 5.2 = 9-y + 10 = 9-y = 9 – 10-y = -1Y = 1
X + y + 2.z = 8X + 1 + 2.2 = 8X + 1 + 4 = 8X + 5 = 8X =8 – 5X = 3
Jadi haslnya adalah x1=3, x2=1, x3=2
2. 4x1 - 8x2 = 123x1 - 6x2 = 9-2x1 + 4x2 = -6
Jawab :
Agar lebih mudah x2 kita ganti dengan y
4 -8 12 R1 + (R3.2) 4 -8 12 y=0 3 -6 9 3 -6 9-2 4 -6 0 0 0
y=03x – 6y = 93x – 6.0 = 9
3x=9X = 9/3
X=3
Jadi hasil akhirnya adalah x1=3, x2=0
