Question

用高斯若尔(G-J)当消元法解下列方程 求过程

Answer 1

1.

2X+3Y+3Z+(-2X+2Y-3Z)=-2+7=5

5Y=5

Y=1

X+2Z=-1-3Y=-1-3=-4

2X+3Z=-2-3Y=-2-3=-5

2*(X+2Z)-(2X+3Z)=Z=-4*2-(-5)=-8+5=-3

Z=-3

X=-4-2Z=-4+6=2

X=2 Y=1 Z=-3

2.

2X+5Y+12Z-(2X+Y+2Z)=48-10=38

4Y+10Z=38

4X+4Y+7Z-2*(2X+Y+2Z)=33-2*10=13

2Y+3Z=13

4Y+10Z-2*(2Y+3Z)=38-2*13=12

4Z=12

Z=3

2Y=13-3Z=13-9=4

Y=2

2X=10-(Y+2Z)=10-(2+2*3)=2

X=1

X=1 Y=2 Z=3