高斯消元法求特征值
Posted 木卜
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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
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