How to write the script for iteration when the input is the matrix?

for example, I have one iteration such as x_{n+1}=ax_n+bAx_n. where a,b are real numbers and A is 3x3 matrix.

My problem is x_n is not a real number but it is in the form of matrix (3x1 dimension). How could I write the script for running this iteration? Thank you so much in advance.

Answer 1

[Walter Roberson]

x_n = x;  %original value
for n = 1 : maximum_n - 1
  x_n(:,n+1) = a * x_n(:,n) + b * A * x_n(:,n);
end

The values will appear down the columns.

[Nunoy Female]

Thank you very much. ^___________________^