TEMA MATRICES
Enviado por tomas • 31 de Octubre de 2018 • 3.410 Palabras (14 Páginas) • 300 Visitas
...
X= Número de unidades del producto A
Y= Número de unidades del producto B
Z= Número de unidades del producto C
[pic 103]
[pic 104]
[pic 105]
[pic 106][pic 107][pic 108][pic 109][pic 110]
3 2 3 800 3 2 3 800
1 3 4 1200 -1/3F1+F2 0 7/3 3 2800/3 [pic 111]
8 3 2 1300 8 3 2 1300
[pic 112][pic 113]
3 2 3 800
-8/3F1+F3 0 7/3 3 2800/3[pic 114]
0 -7/3 -6 -2500/3
3 2 3 800[pic 115][pic 116]
-F2+F3 0 7/3 3 2800/3 [pic 117]
0 0 -3 100
[pic 118]
[pic 119]
[pic 120]
=[pic 121][pic 122]
[pic 123]
[pic 124]
[pic 125]
[pic 126]
EJERCICIOS 9-1 [pic 127]
En los siguientes problemas, encuentre la inversa de la matriz dada [pic 128]
EJERCICIO 13
[pic 129]
[pic 130][pic 131][pic 132][pic 133][pic 134][pic 135]
1 2 -3 1 0 0 -1 2 -3 1 0 0
→ 2 -1 1 0 1 0 3F1+F3 →F3 2 -1 1 0 1 0[pic 136]
3 1 2 0 0 1 0 7 -7 0 0 1
[pic 137][pic 138][pic 139][pic 140][pic 141][pic 142]
1 -2 3 -1 0 0 1 -2 3 -1 0 0
1/7F3;-F1 2 -1 1 0 1 0 -2F1+F2→F2 0 3 -5 2 1 0 [pic 143]
0 1 -1 3/7 0 1/7 0 1 -1 3/7 0 1/7
[pic 144][pic 145][pic 146][pic 147][pic 148][pic 149]
1 -2 3 -1 0 0 2 -4 0 1/7 3 -9/7
-3F3+F2→F3 0 3 -5 2 1 0 3F3+2F1→F1 0 3 -5 2 1 0
0 0 -2 5/7 1 -3/7 0 0 -2 5/7 1 -3/7
[pic 150][pic 151][pic 152]
2 -4 0 1/7 3 -9/7
5F3+F2→F2 0 -6 0 -3/7 3 -15/7[pic 153]
0 0 -2 5/7 1 -3/7
[pic 154][pic 155][pic 156]
-12 0 0 -18/7 -6 -6/7
-6F1+4F2→F1 0 -6 0 -3/7 3 -15/7
0 0 -2 5/7 1 -3/7
[pic 157][pic 158][pic 159]
1 0 0 3/14 ½ 1/14
0 1 0 1/14 -1/2 5/14
0 0 1 -5/14 -1/2 3/14
EJECICIO 14 [pic 160]
-3 2 1 1 0 0[pic 161][pic 162][pic 163]
→ 2 -1 3 0 1 0[pic 164]
1 -3 2 0 0 1
[pic 165][pic 166][pic 167]
-3 2 1 1 0 0
2/3F1+F2→F2 0 1/3 11/3 2/3 1 0[pic 168]
1 -3 2 0 0 1
[pic 169][pic 170][pic 171][pic 172][pic 173][pic 174]
-3 2 1 1 0 0 -3 2 1 1 0 0
F3+1/3F1→F3 0 1/3 11/3 2/3 1 0 F2F3 0 -7/3 7/3 1/3 0 1[pic 176][pic 177][pic 175]
0 -7/3 7/3 1/3 0 1 0 1/3 11/3 2/3 1 0
[pic 178][pic 179][pic 180]
-3 2 1 1 0 0
F3+1/7F2→F3 0 -7/3 7/3 1/3 0 1[pic 181]
0 0 4 5/7 1 1/7
[pic 182][pic 183][pic 184]
-3 2 1 1 0 0
1/4F3 0 -7/3 7/3 1/3 0 1[pic 185]
0 0 1 5/28 ¼ 1/28
[pic 186][pic 187][pic 188]
-3 2 1 1 0 0
0 -7/3 0 -1/12 -7/12 11/12
F2-7/3F3→F2 0 0 1 5/28 ¼ 1/28
[pic 189][pic 190][pic 191][pic 192][pic 193][pic 194]
-3 2 0 23/28 -1/4 -1/28 -3 2 0 23/28 -1/4 -1/28
F1-F3→F1 0 -7/3 0 -1/12 -7/12 11/12 -3/7F2 0 1 0 1/28 ¼ -11/28
0 0 1 5/28 ¼ 1/28 0 0 1 5/28 ¼ 1/28
[pic 195][pic 196][pic 197]
-3 0 0 ¾ -3/4 3/4
F1-2F2→F1 0 1 0 1/28 ¼ -11/28
0 0 1 5/28 ¼ 1/28
[pic 198]
1 0 0 -1/4 ¼ -1/4[pic 199][pic 200]
0 1 0 1/28 ¼ -11/28[pic 201]
0 0 1 5/28 ¼ 1/28
EJECICIO 15 [pic 202]
[pic 203][pic 204][pic 205][pic 206][pic 207][pic 208][pic 209][pic 210]
1 -1 1 2 1 -1 1 2 0 0 0 1 3 0 -1 2 0 0 0 1
2 -3 0 3 → 2 -3 0 3 0 1 0 0 F2-2/3F1→F2 0 -3 2/3 5/3 0 1 0 -2/3[pic 211]
1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0
3
...