How to solve this matrix using inverse function?

Question

Joseph 2013-3-15

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/67386-how-to-solve-this-matrix-using-inverse-function

I want to use the inverse function (inv) on this 10 x 10 matrix but I keep getting all this Inf in place of the numbers.

The matrix goes as follows,

 clc,clear all
 a = [1 2 3 4 5 6 7 8 9 10];
b = [21 22 23 24 25 26 27 28 29 30];
c = [11 12 13 14 15 16 17 18 19 20];
d = [31 32 33 34 35 36 37 38 39 40];
f = [41 42 43 44 45 46 47 48 49 50];
g = [61 62 63 64 65 66 67 68 69 70];
h = [51 52 53 54 55 56 57 58 59 60];
i = [81 82 83 84 85 86 87 88 89 90];
j = [91 92 93 94 95 96 97 98 99 100];
e = [1 2 3 4 5 6 7 8 9 10];
 aa = sum(a);
bb = sum(b);
cc = sum(c);
dd = sum(d);
ff = sum(f);
gg = sum(g);
hh = sum(h);
ii = sum(i);
jj = sum(j);
ee = sum(e);
 AA = [a ;b ;c ;d ;e ;f ;g ;h ;i ;j];
b = [aa ;bb ;cc ;dd ;ff ;gg ;hh ;ii ;jj ;ee];
 Res = inv(A)
 The result I am getting is this one,
 Warning: Matrix is singular to working precision. 
> In borrame at 39
 Res =
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf
   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf   Inf