MATLAB: Multiplying a changing amount matrices.

horzcatmtimes

the problem I am struggeling with is to multiply a known, but depending on the application, changing amount of matrices (2×2). I would like to write a code that does this without me having to manually enter the matrix names. It would work like horzcat() but for a different amount of matrices every time i use the program. Currently this is what it should do:
for i_freq=1:length(freq) omega=2*pi*freq(i_freq); k=omega/c_0;
    %define muffler elements
        T1=straight_duct(k,L1);  
        T2=expansion_duct(E);
        T3=straight_duct(k,L2);
        T4=contraction_duct(E);
        T5=straight_duct(k,L3);
        %Transfer transmission matrix
        TT=T5*T4*T3*T2*T1;
    %extract elements from matrix
        A=TT(1,1)
        B=TT(1,2)
        C=TT(2,1)
        D=TT(2,2)
    F=A-C/D;
    T=[A B; C D];
    %Transmission loss
    TL(i_freq)=20*log10(abs(F));
end
I'm pretty new to matlab so a shove in the right direction would be nice. I've been looking at plenty of topics but none have actually resolved this problem for me (dynamic matrices, dynamic variables, recognizable variables). The order of the multiplication matters.
hope some one can show me the light with which i can continue working!
cheers.

Best Answer

Thank you very much for your reply, the 3D matrix was something that is new to me and i am currently using. It's an awesome way of saving our arrays. The problem I'm still having is the product, I will have to think of a different way of resolving this issue.
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