calculate the standard deviation of a matrix using for loops in matlab

main.m
% Define your matrix
A = [1 2 3; 4 5 6; 7 8 9];

% Get the number of rows and columns in the matrix
[rows, cols] = size(A);

% Initialize a variable to hold the standard deviation
std_dev = zeros(1,cols);

% Loop through each column of the matrix
for col = 1:cols
    % Get the values of the current column
    column_values = A(:,col);
    % Calculate the mean of the current column
    mean_col = mean(column_values);
    % Calculate the differences between each value and the mean
    differences = column_values - mean_col;
    % Square the differences
    square_differences = differences .^ 2;
    % Sum the squared differences
    sum_squared_diff = sum(square_differences);
    % Divide the sum of squared differences by the number of rows minus 1 to get the variance
    variance_col = sum_squared_diff / (rows - 1);
    % Take the square root of the variance to get the standard deviation
    std_dev(col) = sqrt(variance_col);
end
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