作业帮用高斯若尔(G-J)当消元法解下列方程 求过程X+3Y+2Z=-1 2X+Y+2Z=102X+3Y+3Z=-2 4X+4Y+7Z=33-2X+2Y-3Z=7 2X+5Y+12Z=48
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/02 01:30:22
用高斯若尔(G-J)当消元法解下列方程 求过程X+3Y+2Z=-1 2X+Y+2Z=102X+3Y+3Z=-2 4X+4Y+7Z=33-2X+2Y-3Z=7 2X+5Y+12Z=48
用高斯若尔(G-J)当消元法解下列方程 求过程
X+3Y+2Z=-1 2X+Y+2Z=10
2X+3Y+3Z=-2 4X+4Y+7Z=33
-2X+2Y-3Z=7 2X+5Y+12Z=48
用高斯若尔(G-J)当消元法解下列方程 求过程X+3Y+2Z=-1 2X+Y+2Z=102X+3Y+3Z=-2 4X+4Y+7Z=33-2X+2Y-3Z=7 2X+5Y+12Z=48
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