I am trying to find the column space of a matrix
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I am working on a lab for my class and am having issues finding the column soace for the matrix.
A = [1,1,0,2,0;0,1,1,3,0;2,0,0,0,1;3,1,0,2,1;2,1,1,3,0;1,0,0,2,1]
This is the matrix that I am using. Tried the code
rrefA = rref(A)
pivotColumns = rrefA(:,1:end-1)
basisColumnSpace = A(:,pivotColumns)
but i cant get it to work I keep getting a error that i cant clear. I am wondering if there is another way to find the column space with the basic MatLab package. I would apperciate any help.
Thank You
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Answers (1)
ProblemSolver
on 13 Jul 2023
1 Comment
Torsten
on 13 Jul 2023
Counterexample:
A = [1,1,0,2,4;0,1,1,3,6;2,0,0,4,8;3,1,0,5,10;2,1,1,6,12;1,0,0,7,14]
rrefA = rref(A)
pivotColumns = find(any(rrefA, 1))
basisColumnSpace = A(:,pivotColumns)
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