dimension of the column space of a matrix in matlab

To find the dimension of the column space of a matrix in MATLAB, you can use the rank function. The rank function returns the number of linearly independent columns in the matrix, which is equal to the dimension of the column space.

Here is an example:

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

% Find the rank and dimension of the column space
rank_A = rank(A);
dimension_column_space = rank_A;

disp("Dimension of the column space:");
disp(dimension_column_space);
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In this example, the matrix A has three linearly independent columns, so the dimension of the column space is 3.

Note that the input matrix must be a numeric matrix for the rank function to work properly.