数学建模中如何用matlab生成线性方程的完备解组?如何求下面方程的完备解组?a-3c-e+f=2c+e=1b-e-f=-3

Question

数学建模中如何用matlab生成线性方程的完备解组?
如何求下面方程的完备解组?
a-3c-e+f=2
c+e=1
b-e-f=-3

Answer 1

A=[1,0,-3,0,-1,1;0,0,1,0,1,0;0,1,0,0,-1,-1];
b=[2;1;-3];
Z=null(A,'r')
x0=pinv(A)*b
得结果:
Z =
0 -2 -1
0 1 1
0 -1 0
1 0 0
0 1 0
0 0 1
x0 =
0.8333
-0.3333
-0.5000
0
1.5000
1.1667
[a,b,c,d,e,f]=Z*[p,q,r]+x0
p,q,r是任意常数