Topik_1_-_Sistem_Persamaan_Linear

MTE3110 LINEAR ALGEBRA
Aktiviti 1.2.4
Selesaikan sistem persamaan linear berikut dengan menggunakan kaedah
Gaus-Jordan.
(a) x – y + z = 3 (b) 2x + y – z = 1
2x – y + z = 4 x + y – z = 0
x + 2y – z = -1 3x + y + 2z = 2
(c) x – y + z = 1 (d) 3x + y = 7
3x + y = 4 x – z = 0
y – 2z = -1 y - 2z = -8
(e) x + 2y + z = 4 (f) x + 2y – 3z = -5
3x – y - z = 2 5x + y – z = -11
(g) 2x – 2y + 3z + t = 2 (h) x + y + 2z + t = 1
x + y + z + t = 5 x + 2y + z + t = 2
-x + 2y – 3z + 2t = 2 2x + y + z + t = 4
x + y + 2z - t = 4 x + y + z + 2t = 3
(i) x + y + t = 4 (j) x - y + 2z + t = 3
x z + t = 2 3x - 2y - z - t = 4
2x + 2y + z + 2t = 8 2x + y + 2z - t = 10
x - y + z + t = -2 x + 2y + z - 3t = 8
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