Identify & Removing Linear Dependent row/s
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How can I print this matrix so that it finds and prints on the screen a column of the matrix that can be deleted so that the remaining columns still span R4?
Matrix = [10,-7,1,4,6;-8,4,-6,-10,-3;-7,11,-5,-1,-8;3,-1,10,12,12]
A=[10,-7,1,4,6;-8,4,-6,-10,-3;-7,11,-5,-1,-8;3,-1,10,12,12];
%rref(A) I'm not sure how this rref would work but I know I would need an if conditional.
I can't figure out how to remove the specific column based on if it is linearly dependent/independent.
3 Comments
Image Analyst
on 13 Feb 2022
Which column do you want to delete? Just do
Matrix(:, 4) = []; % Delete column 4.
What do you mean by "still span R4"? For this 2-D Matrix, what is R4? What is your expected output?
Accepted Answer
Voss
on 13 Feb 2022
How about this?
Matrix = [10,-7,1,4,6;-8,4,-6,-10,-3;-7,11,-5,-1,-8;3,-1,10,12,12]
[~,p] = rref(Matrix)
removed_column_idx = setdiff(1:size(Matrix,2),p)
removed_columns = Matrix(:,removed_column_idx)
reduced_Matrix = Matrix(:,p)
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