how to calculate the image of a matrix in matlab

To calculate the image of a matrix in Matlab, we can use the "null" function to find the nullspace of the matrix and then take its orthogonal complement. Here's an example:

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

% calculate the image of the matrix
imA = orth(null(A'))

% display the image
disp(imA)
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In this example, A is a 3x3 matrix. We use the "null" function to find the nullspace of A, transpose it, and then take its orthogonal complement to get the image of A. We store the result in the variable "imA" and then display it using the "disp" function.

Note that the image of a matrix is the span of its columns, so we can also calculate it using the "span" function:

main.m
% calculate the image of the matrix using span
imA = span(A)

% display the image
disp(imA)
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This will give us the same result as the previous example.