Writing a loop to create a matrix

if N==1
    Lambda = A;
elseif N==2
    Lambda = [A A^2]';
elseif N==3
    Lambda = [A A^2 A^3]';
elseif N==4
    Lambda = [A A^2 A^3 A^4]';
elseif N==5
    Lambda = [A A^2 A^3 A^4 A^5]';
end

Given that A is a matrix, how do I create a loop that creates:

Lambda = [A A^2 A^3... A^(N-2) A^(N-1) A^N]';

Answer 1

[Davide Masiello]

Example

A = rand(3)

A = 3×3

0.5684 0.3903 0.6124 0.2054 0.1345 0.8194 0.4885 0.8078 0.9672

n = 10;
lambda = [];
for i = 1:n
    lambda = [lambda;A.^i];
end
lambda

lambda = 30×3

0.5684 0.3903 0.6124 0.2054 0.1345 0.8194 0.4885 0.8078 0.9672 0.3231 0.1523 0.3750 0.0422 0.0181 0.6714 0.2386 0.6525 0.9355 0.1837 0.0594 0.2296 0.0087 0.0024 0.5502 0.1166 0.5271 0.9048 0.1044 0.0232 0.1406