How can i repeat a formula without for loop?

Hi,

I want to repeat my formula according to p value. For this purpose, for loop can be easily used, but i should not implement a loop for this work and unfortunately didn't find an effective solution for this.

Assume that A and C are matrices like

A = [ 1 2; 3 4]
C = [5 6; 7 8]

B matrix is:

B = [CA CA^2 CA^3 ... CA^p]' (p may be equal to any number)

Is there any way to run this without any loop?

Thanks,

EDIT: Performing of this work by using for loop:

clear all
clc
 i = [1:10]
 A = [1 2 ; 3 4]
 C = [ 5 6 ; 7 8]
 for i = 1:10
 B{i} = [C*A^i]
 end
 B = transpose(cell2mat(B))

[Jonas]

if you mean C*(A^p) you can improve the code by

B=cell(1,10);
B{1}=C*A;

for p=2:10
    B{i}=B{i-1}*A;
end

[Volkan Yangin]

Thanks, but i struggle to make same thing without using any loop.

Answer 1

[G A]

M = [1,2; 3,4];
LM=log(M);
A = 1:5;
B = num2cell(A);
C = cellfun(@(x) {x*LM}, B);
D = cellfun(@(x) {exp(x)},C);
D{:}