how to use for loop for iterations in matrices?

Hello, how can I use for loop for these operations?

let x1= rand(5,3);

and x2= rand(5,3);

also, A1=x2*pinv(x1);

Now, I want to use A1 and x2 to get X3, i.e

x3=A1*x2;

and then,

A2=x3*pinv(x2);

x4=A2*x3; and so on.

I want to get the final X matrix after 10 iterations using for loop. i.e x10.

Thank you

Answer 1

[Stephen23]

"how to use for loop for iterations in matrices?"

Do NOT number the variable names, unless you want to force yourself into writing slow, complex, inefficient code.

Use a cell array instead, with indexing, e.g.:

C = {rand(5,3),rand(5,3)};
for k = 3:10
    A = C{k-1} * pinv(C{k-2});
    C{k} = A * C{k-1};
end
M = C{10}

M = 5×3

0.0237 0.0329 0.0283 0.0242 0.0348 0.0300 0.0154 0.0228 0.0197 0.0195 0.0275 0.0236 0.0397 0.0558 0.0480

https://www.mathworks.com/help/matlab/matlab_prog/access-data-in-a-cell-array.html