Process on Matrices (addition, multiplication, ...)

how can i define a matricies A and B in MATLAB, there elements are a function of x, as in the following.

Answer 1

[Walter Roberson]

syms f_11(x) f_12(x) f_21(x) f_22(x) g_11(x) g_12(x) g_21(x) g_22(x)
A = [f_11(x) f_12(x); f_21(x) f_22(x)]

A = 

B = [g_11(x) g_12(x); g_21(x) g_22(x)]

B = 

If you have sufficiently new MATLAB (R2020b or later I think it is)

clearvars
syms f(t) [2 2]
syms g(t) [2 2]
all_syms = syms();
A = subs(reshape(all_syms(~cellfun(@isempty, regexp(all_syms, '^f\d'))), [2 2]))

A = 

B = subs(reshape(all_syms(~cellfun(@isempty, regexp(all_syms, '^g\d'))), [2 2]))

B = 

Which is to say that you can automatically construct the indexed functions now, but there is no good way to collect them in a variable.