How to calculate determinant of matrices with symbolic entries fast?
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I am using the det function in MATLAB directly to calculate determinant of matrices with symbolic entries but it is very slow and doesn't yield result in a considerable time. Are there any other options/functions to do this task fast? For example, symengine or MUPAD? I don't know much about these.
syms z1 z2 z3 z4
A=[0 1 0 0;
0 0 1 0;
0 0 0 1;
-29.17 -56 -36.7 -10.1];
B1=[-1.55 1 0 0;
-1 -0.3 0 0;
0 0 0.5 0;
-0.7 0 -0.34 -2.6];
B2=[0 0 0 0;
1 1.5 4 0;
0 0 0 0;
-0.33 0 0 -1.1];
B3=[0 0 0 0;
0 0 0 0;
0 0 0 0;
-0.08 -0.7 0 -1];
B4=zeros(4,4);B4(4,3)=-3;
n=4;
det(kron(A,eye(n))+kron(eye(n),A)+kron(B1,eye(n))*z1+kron(B2,eye(n))*z2+kron(B3,eye(n))*z3+kron(B4,eye(n))*z4+kron(eye(n),B1)*z1^(-1)+kron(eye(n),B2)*z2^(-1)+kron(eye(n),B3)*z3^(-1)+kron(eye(n),B4)*z4^(-1))
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