用高斯消元法求方程组2x+2y-2z=8x-y+3z=16

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用高斯消元法求方程组2x+2y-2z=8x-y+3z=16用高斯消元法求方程组2x+2y-2z=8x-y+3z=16用高斯消元法求方程组2x+2y-2z=8x-y+3z=162,2,-2,8;1,-1

用高斯消元法求方程组2x+2y-2z=8x-y+3z=16
用高斯消元法求方程组
2x+2y-2z=8
x-y+3z=16

用高斯消元法求方程组2x+2y-2z=8x-y+3z=16
2,2,-2,8;1,-1,3,16;变换:1,1,-1,4;1,-1,3,16;变换:1,1,-1,4;0,-2,4,12;变换:1,1,-1,4;0,1,-2,-6;变换:1,0,1,10;0,1,-2,-6.→x+z=10;y-2z=-6.设x=t,则z=10-t,y=2z-6=14-2t.所以:[x,y,z]=[t,14-2t,10-t].