解线性方程组 x1+2x2+3x3+4x4=5 2x1+4x2+4x3+6x4=8 -x1-2x2-x3-2x4= - 3

2024-12-29 10:48:19
推荐回答(2个)
回答1:

x1+2x2+3x3+4x4=5 (1)
2x1+4x2+4x3+6x4=8 (2)
-x1-2x2- x3-2x4=-3 (3)
(1)+(3)
2x1+4x2+4x3+6x4=8 = equation(2)
Rank of system of equtions = 2
(1)+2(3)
-x1-2x2+x3=-1
x3= x1+2x2-1 (4)
sub (4) into (3)
-x1-2x2- (x1+2x2-1)-2x4=-3
x4= -x1-2x2 +2
(x1,x2, x1+2x2-1, -x1-2x2 +2)
x1,x2属于R 祝你学习进步!

回答2:

x1+2x2+3x3+4x4=5 (1)
2x1+4x2+4x3+6x4=8 (2)
-x1-2x2- x3-2x4=-3 (3)
(1)+(3)
2x1+4x2+4x3+6x4=8 = equation(2)
Rank of system of equtions = 2
(1)+2(3)
-x1-2x2+x3=-1
x3= x1+2x2-1 (4)
sub (4) into (3)
-x1-2x2- (x1+2x2-1)-2x4=-3
x4= -x1-2x2 +2

solution of system of equations
(x1,x2, x1+2x2-1, -x1-2x2 +2)
x1,x2属于R