解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x3-3x4=0)
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解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x3-3x4=0)解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x
解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x3-3x4=0)
解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x3-3x4=0)
解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x3-3x4=0)
x1+2x2+2x3+x4=0 (1)
2x1+x2-2x3-2x4=0 (2)
x1-x2-4x3-3x4=0 (3)
(2)-(3)
x1+2x2+2x3+x4=0 = equation (1)
rank of system of equations = 2
(1)+(2)
3x1+3x2+3x4=0
x4=-(x1+x2)
from (1)
x1+2x2+2x3-(x1+x2)=0
x3 = -x2/2
solution of system of equations
(x1,x2,x3,x4) = (m,n,-n/2,-(m+n) ) where m,n is a constant
X1=1,X2=-1,X3=0.5,X4=0
可带入验算
不定解
方程组的解为: (16,9,-6,0)'+c(15,8,-5,1)'. X1-3X2-2X3-X4=1 (1) 3X1-8X2-4X3-X4=0 (2) -2X1+X2-4X3+2X4=1
解方程组(x1+2x2+2x3+x4=0,2x1+x2-2x3-2x4=0,x1-x2-4x3-3x4=0)
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