how to calculate the column space of a matrix in matlab

To calculate the column space of a matrix in Matlab, you can use the 'null' function and calculate the null space of the transpose of the matrix. The rank of the matrix is the dimension of the column space. Here's an example:

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

% calculate null space of A'
null_space = null(A');

% rank of A is the dimension of its column space
rank_A = size(A, 2) - size(null_space, 2);

disp(rank_A);
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This will output the rank of the matrix A, which is the dimension of its column space.