高斯消元法求特征值

e=sym(‘e‘)
E=[1,0,0,0;0,1,0,0;0,0,1,0;0,0,0,1]
E=e.*E
A=[1,-1,1,-4;5,-4,3,12;2,1,1,11;2,-1,7,-1]
A=A-E
Adet=1
%开始消元过程
for k=1:(length(A))
   a=A(k,k)
   Adet = Adet.*a
   for i=1:(length(A))
      A(k,i)=A(k,i)/a
   end
   for i=k+1:(length(A))
      c=-A(i,k)
	  for j=1: (length(A))
		A(i,j)=A(i,j)+c.*A(k,j)
	  end
   end
end
Adet
Adet=solve(Adet)
Adet=double(Adet)
 
e =
 
e
 

E =

     1     0     0     0
     0     1     0     0
     0     0     1     0
     0     0     0     1

 
E =
 
[ e, 0, 0, 0]
[ 0, e, 0, 0]
[ 0, 0, e, 0]
[ 0, 0, 0, e]
 

A =

     1    -1     1    -4
     5    -4     3    12
     2     1     1    11
     2    -1     7    -1

 
A =
 
[ 1 - e,      -1,     1,      -4]
[     5, - e - 4,     3,      12]
[     2,       1, 1 - e,      11]
[     2,      -1,     7, - e - 1]
 

Adet =

     1

 
a =
 
1 - e
 
 
Adet =
 
1 - e
 
 
A =
 
[ 1,      -1,     1,      -4]
[ 5, - e - 4,     3,      12]
[ 2,       1, 1 - e,      11]
[ 2,      -1,     7, - e - 1]
 
 
A =
 
[ 1, 1/(e - 1),     1,      -4]
[ 5,   - e - 4,     3,      12]
[ 2,         1, 1 - e,      11]
[ 2,        -1,     7, - e - 1]
 
 
A =
 
[ 1, 1/(e - 1), -1/(e - 1),      -4]
[ 5,   - e - 4,          3,      12]
[ 2,         1,      1 - e,      11]
[ 2,        -1,          7, - e - 1]
 
 
A =
 
[ 1, 1/(e - 1), -1/(e - 1), 4/(e - 1)]
[ 5,   - e - 4,          3,        12]
[ 2,         1,      1 - e,        11]
[ 2,        -1,          7,   - e - 1]
 
 
c =
 
-5
 
 
A =
 
[ 1, 1/(e - 1), -1/(e - 1), 4/(e - 1)]
[ 0,   - e - 4,          3,        12]
[ 2,         1,      1 - e,        11]
[ 2,        -1,          7,   - e - 1]
 
 
A =
 
[ 1,           1/(e - 1), -1/(e - 1), 4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,          3,        12]
[ 2,                   1,      1 - e,        11]
[ 2,                  -1,          7,   - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),    -1/(e - 1), 4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4, 5/(e - 1) + 3,        12]
[ 2,                   1,         1 - e,        11]
[ 2,                  -1,             7,   - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),    -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4, 5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 2,                   1,         1 - e,              11]
[ 2,                  -1,             7,         - e - 1]
 
 
c =
 
-2
 
 
A =
 
[ 1,           1/(e - 1),    -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4, 5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 0,                   1,         1 - e,              11]
[ 2,                  -1,             7,         - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),    -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4, 5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1),         1 - e,              11]
[ 2,                  -1,             7,         - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),        -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,     5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1), 2/(e - 1) - e + 1,              11]
[ 2,                  -1,                 7,         - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),        -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,     5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1), 2/(e - 1) - e + 1,  11 - 8/(e - 1)]
[ 2,                  -1,                 7,         - e - 1]
 
 
c =
 
-2
 
 
A =
 
[ 1,           1/(e - 1),        -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,     5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1), 2/(e - 1) - e + 1,  11 - 8/(e - 1)]
[ 0,                  -1,                 7,         - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),        -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,     5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1), 2/(e - 1) - e + 1,  11 - 8/(e - 1)]
[ 0,     - 2/(e - 1) - 1,                 7,         - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),        -1/(e - 1),       4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,     5/(e - 1) + 3, 12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1), 2/(e - 1) - e + 1,  11 - 8/(e - 1)]
[ 0,     - 2/(e - 1) - 1,     2/(e - 1) + 7,         - e - 1]
 
 
A =
 
[ 1,           1/(e - 1),        -1/(e - 1),           4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,     5/(e - 1) + 3,     12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1), 2/(e - 1) - e + 1,      11 - 8/(e - 1)]
[ 0,     - 2/(e - 1) - 1,     2/(e - 1) + 7, - e - 8/(e - 1) - 1]
 
 
a =
 
- e - 5/(e - 1) - 4
 
 
Adet =
 
(e - 1)*(e + 5/(e - 1) + 4)
 
 
A =
 
[ 1,           1/(e - 1),        -1/(e - 1),           4/(e - 1)]
[ 0, - e - 5/(e - 1) - 4,     5/(e - 1) + 3,     12 - 20/(e - 1)]
[ 0,       1 - 2/(e - 1), 2/(e - 1) - e + 1,      11 - 8/(e - 1)]
[ 0,     - 2/(e - 1) - 1,     2/(e - 1) + 7, - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1,       1/(e - 1),        -1/(e - 1),           4/(e - 1)]
[ 0,               1,     5/(e - 1) + 3,     12 - 20/(e - 1)]
[ 0,   1 - 2/(e - 1), 2/(e - 1) - e + 1,      11 - 8/(e - 1)]
[ 0, - 2/(e - 1) - 1,     2/(e - 1) + 7, - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1,       1/(e - 1),                           -1/(e - 1),           4/(e - 1)]
[ 0,               1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),     12 - 20/(e - 1)]
[ 0,   1 - 2/(e - 1),                    2/(e - 1) - e + 1,      11 - 8/(e - 1)]
[ 0, - 2/(e - 1) - 1,                        2/(e - 1) + 7, - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1,       1/(e - 1),                           -1/(e - 1),                             4/(e - 1)]
[ 0,               1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4), (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,   1 - 2/(e - 1),                    2/(e - 1) - e + 1,                        11 - 8/(e - 1)]
[ 0, - 2/(e - 1) - 1,                        2/(e - 1) + 7,                   - e - 8/(e - 1) - 1]
 
 
c =
 
2/(e - 1) - 1
 
 
A =
 
[ 1,       1/(e - 1),                           -1/(e - 1),                             4/(e - 1)]
[ 0,               1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4), (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,   1 - 2/(e - 1),                    2/(e - 1) - e + 1,                        11 - 8/(e - 1)]
[ 0, - 2/(e - 1) - 1,                        2/(e - 1) + 7,                   - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1,       1/(e - 1),                           -1/(e - 1),                             4/(e - 1)]
[ 0,               1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4), (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,               0,                    2/(e - 1) - e + 1,                        11 - 8/(e - 1)]
[ 0, - 2/(e - 1) - 1,                        2/(e - 1) + 7,                   - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1,       1/(e - 1),                                                                -1/(e - 1),                             4/(e - 1)]
[ 0,               1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4), (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,               0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1,                        11 - 8/(e - 1)]
[ 0, - 2/(e - 1) - 1,                                                             2/(e - 1) + 7,                   - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1,       1/(e - 1),                                                                -1/(e - 1),                                                                4/(e - 1)]
[ 0,               1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                    (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,               0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1, ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0, - 2/(e - 1) - 1,                                                             2/(e - 1) + 7,                                                      - e - 8/(e - 1) - 1]
 
 
c =
 
2/(e - 1) + 1
 
 
A =
 
[ 1,       1/(e - 1),                                                                -1/(e - 1),                                                                4/(e - 1)]
[ 0,               1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                    (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,               0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1, ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0, - 2/(e - 1) - 1,                                                             2/(e - 1) + 7,                                                      - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1, 1/(e - 1),                                                                -1/(e - 1),                                                                4/(e - 1)]
[ 0,         1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                    (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1, ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0,         0,                                                             2/(e - 1) + 7,                                                      - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1, 1/(e - 1),                                                                -1/(e - 1),                                                                4/(e - 1)]
[ 0,         1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                    (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1, ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0,         0,     2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7,                                                      - e - 8/(e - 1) - 1]
 
 
A =
 
[ 1, 1/(e - 1),                                                                -1/(e - 1),                                                                   4/(e - 1)]
[ 0,         1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                       (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1,    ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0,         0,     2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7, ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
a =
 
2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1
 
 
Adet =
 
-(e - 1)*(e + 5/(e - 1) + 4)*(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)
 
 
A =
 
[ 1, 1/(e - 1),                                                                -1/(e - 1),                                                                   4/(e - 1)]
[ 0,         1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                       (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1,    ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0,         0,     2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7, ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
A =
 
[ 1, 1/(e - 1),                                                                -1/(e - 1),                                                                   4/(e - 1)]
[ 0,         1,                                      -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                       (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0, 2/(e - 1) - e - ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 1,    ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0,         0,     2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7, ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
A =
 
[ 1, 1/(e - 1),                                                            -1/(e - 1),                                                                   4/(e - 1)]
[ 0,         1,                                  -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                       (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                                                     1,    ((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11]
[ 0,         0, 2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7, ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
A =
 
[ 1, 1/(e - 1),                                                            -1/(e - 1),                                                                                                                                               4/(e - 1)]
[ 0,         1,                                  -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                   (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                                                     1, -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0, 2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7,                                                                             ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
c =
 
((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 2/(e - 1) - 7
 
 
A =
 
[ 1, 1/(e - 1),                                                            -1/(e - 1),                                                                                                                                               4/(e - 1)]
[ 0,         1,                                  -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                   (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                                                     1, -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0, 2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7,                                                                             ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
A =
 
[ 1, 1/(e - 1),                                                            -1/(e - 1),                                                                                                                                               4/(e - 1)]
[ 0,         1,                                  -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                   (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                                                     1, -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0, 2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7,                                                                             ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
A =
 
[ 1, 1/(e - 1),                           -1/(e - 1),                                                                                                                                               4/(e - 1)]
[ 0,         1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                   (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                    1, -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0,                                    0,                                                                             ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) - e - 1]
 
 
A =
 
[ 1, 1/(e - 1),                           -1/(e - 1),                                                                                                                                                                                                                                                                                                      4/(e - 1)]
[ 0,         1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                                                                                                                                                                          (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                    1,                                                                                                                                                        -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0,                                    0, ((2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7)*(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11))/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1) - 8/(e - 1) - e + ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 1]
 
 
a =
 
((2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7)*(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11))/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1) - 8/(e - 1) - e + ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 1
 
 
Adet =
 
(e - 1)*(e + 5/(e - 1) + 4)*(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)*(e + 8/(e - 1) - ((2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7)*(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11))/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1) - ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) + 1)
 
 
A =
 
[ 1, 1/(e - 1),                           -1/(e - 1),                                                                                                                                                                                                                                                                                                      4/(e - 1)]
[ 0,         1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                                                                                                                                                                          (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                    1,                                                                                                                                                        -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0,                                    0, ((2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7)*(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11))/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1) - 8/(e - 1) - e + ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 1]
 
 
A =
 
[ 1, 1/(e - 1),                           -1/(e - 1),                                                                                                                                                                                                                                                                                                      4/(e - 1)]
[ 0,         1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                                                                                                                                                                          (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                    1,                                                                                                                                                        -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0,                                    0, ((2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7)*(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11))/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1) - 8/(e - 1) - e + ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 1]
 
 
A =
 
[ 1, 1/(e - 1),                           -1/(e - 1),                                                                                                                                                                                                                                                                                                      4/(e - 1)]
[ 0,         1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                                                                                                                                                                          (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                    1,                                                                                                                                                        -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0,                                    0, ((2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7)*(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11))/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1) - 8/(e - 1) - e + ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 1]
 
 
A =
 
[ 1, 1/(e - 1),                           -1/(e - 1),                                                                                                                                               4/(e - 1)]
[ 0,         1, -(5/(e - 1) + 3)/(e + 5/(e - 1) + 4),                                                                                                                   (20/(e - 1) - 12)/(e + 5/(e - 1) + 4)]
[ 0,         0,                                    1, -(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11)/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)]
[ 0,         0,                                    0,                                                                                                                                                       1]
 
 
Adet =
 
(e - 1)*(e + 5/(e - 1) + 4)*(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1)*(e + 8/(e - 1) - ((2/(e - 1) - ((2/(e - 1) + 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) + 7)*(((2/(e - 1) - 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) - 8/(e - 1) + 11))/(e - 2/(e - 1) + ((2/(e - 1) - 1)*(5/(e - 1) + 3))/(e + 5/(e - 1) + 4) - 1) - ((2/(e - 1) + 1)*(20/(e - 1) - 12))/(e + 5/(e - 1) + 4) + 1)
 
 
Adet =
 
 RootOf(z^4 + 3*z^3 - 62*z^2 - 256*z + 414, z)[1]
 RootOf(z^4 + 3*z^3 - 62*z^2 - 256*z + 414, z)[2]
 RootOf(z^4 + 3*z^3 - 62*z^2 - 256*z + 414, z)[3]
 RootOf(z^4 + 3*z^3 - 62*z^2 - 256*z + 414, z)[4]
 

Adet =

   1.2639 + 0.0000i
   7.9781 + 0.0000i
  -6.1210 + 1.8947i
  -6.1210 - 1.8947i