求解多元一次方程组的所有整数解的代码,要出结果的,我有这样的两个式子:a+b+c+d+e+f+g+h+i+j+k+l+m+n=8;7*a+7.5*b+8*c+8.5*d+9*e+9.5*f+10*g+10.5*h+11*i+11.5*j+12*k+12.5*l+13*m+13.5*n=89要求求解满足这两个式子的
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/20 16:44:54
![求解多元一次方程组的所有整数解的代码,要出结果的,我有这样的两个式子:a+b+c+d+e+f+g+h+i+j+k+l+m+n=8;7*a+7.5*b+8*c+8.5*d+9*e+9.5*f+10*g+10.5*h+11*i+11.5*j+12*k+12.5*l+13*m+13.5*n=89要求求解满足这两个式子的](/uploads/image/z/12139480-64-0.jpg?t=%E6%B1%82%E8%A7%A3%E5%A4%9A%E5%85%83%E4%B8%80%E6%AC%A1%E6%96%B9%E7%A8%8B%E7%BB%84%E7%9A%84%E6%89%80%E6%9C%89%E6%95%B4%E6%95%B0%E8%A7%A3%E7%9A%84%E4%BB%A3%E7%A0%81%2C%E8%A6%81%E5%87%BA%E7%BB%93%E6%9E%9C%E7%9A%84%2C%E6%88%91%E6%9C%89%E8%BF%99%E6%A0%B7%E7%9A%84%E4%B8%A4%E4%B8%AA%E5%BC%8F%E5%AD%90%EF%BC%9Aa%2Bb%2Bc%2Bd%2Be%2Bf%2Bg%2Bh%2Bi%2Bj%2Bk%2Bl%2Bm%2Bn%3D8%EF%BC%9B7%2Aa%2B7.5%2Ab%2B8%2Ac%2B8.5%2Ad%2B9%2Ae%2B9.5%2Af%2B10%2Ag%2B10.5%2Ah%2B11%2Ai%2B11.5%2Aj%2B12%2Ak%2B12.5%2Al%2B13%2Am%2B13.5%2An%3D89%E8%A6%81%E6%B1%82%E6%B1%82%E8%A7%A3%E6%BB%A1%E8%B6%B3%E8%BF%99%E4%B8%A4%E4%B8%AA%E5%BC%8F%E5%AD%90%E7%9A%84)
求解多元一次方程组的所有整数解的代码,要出结果的,我有这样的两个式子:a+b+c+d+e+f+g+h+i+j+k+l+m+n=8;7*a+7.5*b+8*c+8.5*d+9*e+9.5*f+10*g+10.5*h+11*i+11.5*j+12*k+12.5*l+13*m+13.5*n=89要求求解满足这两个式子的
求解多元一次方程组的所有整数解的代码,要出结果的,
我有这样的两个式子:
a+b+c+d+e+f+g+h+i+j+k+l+m+n=8;
7*a+7.5*b+8*c+8.5*d+9*e+9.5*f+10*g+10.5*h+11*i+11.5*j+12*k+12.5*l+13*m+13.5*n=89
要求求解满足这两个式子的未知数的所有整数解.相当于一个很多行,14列的矩阵结果一样.
我用了很多软件(MATLAB等),但都循环太大,出不了结果,求高手能给出程序,得到结果!
求解多元一次方程组的所有整数解的代码,要出结果的,我有这样的两个式子:a+b+c+d+e+f+g+h+i+j+k+l+m+n=8;7*a+7.5*b+8*c+8.5*d+9*e+9.5*f+10*g+10.5*h+11*i+11.5*j+12*k+12.5*l+13*m+13.5*n=89要求求解满足这两个式子的
可用Mathematica求解.
Solve[ a+b+c+d+e+f+g+h+i+j+k+l+m+n == 8 && 7*a+7.5*b+8*c+8.5*d+9*e+9.5*f+10*g+10.5*h+11*i+11.5*j+12*k+12.5*l+13*m+13.5*n == 89 ,{a,b,
c,d,e,f,g,h,i,j,k,l,m,n },Integers]
m == 38.- 13.a - 12.b - 11.c - 10.d - 9.e - 8.f - 7.g -
6.h - 5.i - 4.j - 3.k - 2.l
n == -30.+ 12.a + 11.b + 10.c + 9.d + 8.e + 7.f + 6.g +
5.h + 4.i + 3.j + 2.k + 1.l
其中:
(a | b | c | d | e | f | g | h | i | j | k | l | m | n) 取整数.
即方程有无限多个解.
而方程的非负解,有三千多个.
{a -> 0,b -> 1,c -> 0,d -> 1,e -> 1,f -> 0,g -> 0,h -> 0,
i -> 0,j -> 0,k -> 0,l -> 3,m -> 1,n -> 1},
{a -> 0,b -> 0,
c -> 2,d -> 0,e -> 0,f -> 0,g -> 0,h -> 0,i -> 3,j -> 0,
k -> 0,l -> 0,m -> 1,n -> 2},
{a -> 0,b -> 0,c -> 0,d -> 2,
e -> 0,f -> 1,g -> 0,h -> 0,i -> 0,j -> 0,k -> 0,l -> 5,
m -> 0,n -> 0}
.