Muzo

TRABAJO DE ALGEBRA LINEAL

PRESENTADO POR :
DARWIN ALONSO VARGAS PUENTES

UNIVERSIDAD LOS LIBERTADORES
ING MECANICA
2010
1.

X1 x2 x3 x1 x2 x3 x1 x2 x3 x1 x2 x3 x1 x2 x3
1 -2 3 / 11 1 -2 3/ 11 1 -2 3 11 1 0 -5/7 -3/71 0 -5/7 -3/7
4 1 -1 /4 0 7 -13 -40 0 1 -13/7 -40/7 0 1 -13/7 -40/7 0 1 -13/7 -4/7
2 -1 3 /10 0 3 -3 -12 0 3 -3 -12 0 0 18/7 -207/7 0 0 1 -34/3

X1 x2 x3
1 0 0 -179/2
0 1 0 -562/2
0 0 1 -34/3

2.

X1 x2 x3 x1 x2x3 x1 x2 x3 x1 x2 x3 x1 x2 x3
-2 41 6 18 1 -1/2 -3 -9 1 -1/2 -3 -9 1 -1/2 -3 -9 1 0 8/5 -16/5
5 0 8 -16 5 0 8 -16 0 5/2 23 29 0 1 46/5 58/5 0 1 46/5 58/5
3 2-10 -3 3 2 -10 -3 0 7/2 -1 24 0 7/2 -1 24 0 0 -165/5 -83/5

X1 x2 x3 X1 x2 x3
1 0 8/5 -16/5 1 0 0 -4
0 1 46/5 58/5 0 1 0 7
0 0 1 ½ 0 0 1 ½

3.

X1 x2 x3 X1 x2 x3 X1x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3
-2 0 1 0 1 0 ½ 0 1 0 -1/2 0 1 0 -1/2 0 1 0 -1/2 0 1 0 0 -2/1 1 0 0 -2/7
0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 3 1 0 1 31 0 1 0 19/7
1 -1 0 -3 1 -1 0 -3 0 -1 ½ -3 0 0 7/2 -2 0 0 1 -4/7 0 0 1 -4/7 0 0 1 -4/7

4.

X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x33 6 -6 9 1 2 -2 3 1 2 -2 3 1 0 -18 3 1 0 -18 3 1 0 0 3
2 5 4 6 2 5 4 6 0 1 8 0 0 1 8 0 0 1 8 0 0 1 0 0
-1 16 -14 -3 -1 16 -14 -3 0 18 -16 0 0 0 -160 00 0 1 0 0 0 1 0

5.

X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3
3 6 -6 9 1 2 -2 3 1 2 -2 3 1 2 -2 3 1 0 -2/9 3
2 -5 4 6 2 -5 4 60 -9 8 0 0 1 -8/9 0 0 1 -8/9 0
5 28 -26 -8 5 28 -26 -8 0 18 -16 -23 0 18 -16 -23 0 0 0 23 infinitas soluciones

6.

X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3 X1 x2 x3 X1x2 x3 X1 x2 x3
-2 -6 -3 9 1 -1 2 2 1 -1 2 2 1 -1 2 2 1 -1 2 2 1 0 15/8 3/8 1 0 0 -21/4
-1 1 -1 2 -1 1 -1 1 0 0 1 3 0 -8 1 13 0 1 -1/8 -13/8 0 1 -1/8 -13/8 0 1 0 -5/4
1 -1 2 2 -2 -6 -3 9 0...