MATEMATICA 5TO GAUSS
Enviado por Dinuscap • 28 de Enero de 2022 • Documentos de Investigación • 7.573 Palabras (31 Páginas) • 53 Visitas
ACTIVIDAD A DESARROLLAR N° 1
1)
[pic 1] [pic 2]
SOLUCION:[pic 3][pic 4][pic 5]
[pic 6]
1 -5 2 -3 F2 = 1/15 F2 1 -5 2 -3
A = 0 15 9 11 -------------🡪 0 1 9/15 11/15
0 4 1 -1 0 4 1 -1
[pic 7][pic 8][pic 9][pic 10]
1 -5 2 -3 F1 =5 F2 + F1 1 0 5 10/15
= 0 1 9/15 11/15 ----------------🡪 0 1 9/15 11/15
0 4 1 -1 F3 =-4 F2 + F3 0 0 -21/15 -59/15
[pic 11]
[pic 12][pic 13][pic 14]
1 0 5 10/15 F3 =-15/21F3 1 0 5 10/15
= 0 1 9/15 11/15 ----------------🡪 0 1 9/15 11/15
0 0 -21/15 -59/15 0 0 1 59/21
[pic 15]
[pic 16][pic 17][pic 18]
1 0 5 10/15 F3 =-5F3 + F1 1 0 0 141/7
= 0 1 9/15 11/15 ----------------🡪 0 1 0 104/63
0 0 1 59/21 F2 =-9/15F3 + F2 0 0 1 59/21
[pic 19]
FORMA REDUCIDA ESCALONADA
ENTONCES : X =141/7 Y = 104/63 Z = 59/21[pic 20]
[pic 21]
-3 2 4 -1
B = 5 7 3 1
6 1 -2 4
[pic 22][pic 23][pic 24][pic 25]
-3 2 4 -1 F1 = -1/3 F1 1 -2/3 -4/3 1/3
B = 5 7 3 1 ------------🡪 5 7 3 1
6 1 -2 4 6 1 -2 4[pic 26]
[pic 27][pic 28][pic 29]
1 -2/3 -4/3 1/3 F2 = -5F1 + F2 1 -2/3 -4/3 1/3
B = 5 7 3 1 -------------🡪 0 31/3 29/3 -2/3
6 1 -2 4 F3 = -6F1 + F3 0 5 6 2
[pic 30][pic 31]
[pic 32][pic 33]
1 -2/3 -4/3 1/3 F2 = 3/31F2 1 -2/3 -4/3 1/3
B = 0 31/3 29/3 -2/3 -------------🡪 0 1 29/31 -6/31
0 5 6 2 0 5 6 2[pic 34][pic 35]
[pic 36][pic 37]
1 -2/3 -4/3 1/3 F2 = 2/3F2 + F1 1 0 -4/3 1/3
B = 0 1 29/31 -6/31 -------------🡪 0 1 22/31 19/93
0 5 6 2 F3 = -5F2 + F3 0 0 41/31 92/31
[pic 38][pic 39][pic 40]
[pic 41]
1 0 -4/3 1/3 F3 = 31/41F3 1 0 -4/3 1/3
B = 0 1 22/31 19/93 -------------🡪 0 1 22/31 19/93
0 0 41/31 92/31 0 0 1 92/41
[pic 42][pic 43][pic 44]
[pic 45]
1 0 -4/3 1/3 F1 = 4/3F3 + F1 1 0 0 491/123
B = 0 1 22/31 19/93 -------------🡪 0 1 0 164083/118203
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