Métodos numericos parte

1. 1.- Lee el documentoMETODO GAUSS JORDAN.pdf ydeterminalasoluciónde lossiguientes
sistemasde ecuacionesutilizandoel métodode lamatrizinversa
3 2 4 1
5 -1 -3 -7
F3-F1 1 1 -3 1
3 2 4 1
5 -1 -3 -7
4 3 1 2
3 2 4 1
F2-F3 4 -2 0 -8
1 1 -3 1
3 2 4 1
F2/2 2 -1 0 -4
1 1 -3 1
3 2 4 1
F3+F2 2 -1 0 -4
3 0 -3 -3
F1+2F2 7 0 4 -7
2 -1 0 -4
3 0 -3 -3

2. Comprobación
3(-1) +2(2)+4(0)=-3+4+6=1
5(-1)-1(2)-3(0)=-5-2+0=-7
4(-1)+3(2)+1(0)=-4+6+0=2
7 0 4 -7
F3/3 2 -1 0 -4
1 0 -1 -1
11 0 0 -11
F1+4F3 2 -1 0 -4
1 0 -1 -1
1 0 0 -1
F2-2f1 0 -1 0 -2
1 0 -1 -1
1 0 0 -1
F1/11 2 -1 0 -4
1 0 -1 -1
1 0 0 -1
F3-f1 0 -1 0 -2
0 0 -1 0
F2 * -1
1 0 0 -1
F3*-1 0 1 0 2
0 0 1 0

3. b)
1 -1 0 0 -6
0 1 1 0 3
0 0 1 2 4
2 0 0 -3 5
1 -1 0 0 -6
0 1 1 0 3
0 0 1 2 4
F4-2F1 0 2 0 -3 17
1 -1 0 0 -6
0 1 1 0 3
0 0 1 2 4
F4+2F3 0 0 0 1 19
1 -1 0 0 -6
0 1 1 0 3
0 0 1 2 4
F4-2F2 0 0 -2 -3 11

4. Comprobación
1(31)-1(37)=31-37= -6
1(37)+1(-34)= 37 – 34 =3
1(-34)+2(19)=-34+38=4
2(31)-3(19)=62-57=5
1 -1 0 0 -6
0 1 1 0 3
0 0 1 0 -34
F3-2F4 0 0 0 1 19
1 -1 0 0 -6
0 1 0 0 37
0 0 1 0 -34
F2-F3 0 0 0 1 19
1 0 0 0 31
0 1 0 0 37
0 0 1 0 -34
F1+F2 0 0 0 1 19