Column space of a matrix

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a_Kumar16
a_Kumar16 2020-7-5
评论： Rik 2022-5-19
Hi there,
I would like to find the column space of a matrix, but don't want the basis to be orthonormalised.
I tried the colspace function, but it seems to orthonormalise the basis.
For instance,
A = [1 0.2 3; -1 0.3 1; 2 -4 7];
colspace(sym(A))
Gives the answer:
[ 1, 0, 0]
[ 0, 1, 0]
[ 0, 0, 1]
However, in this particular example I would expect the first three columns of the matrix A as the answer if no orthonormalisation is done.
Any ideas how to achieve this?
Thanks and regards....

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回答（1 个）

Matt J
Matt J 2020-7-5
编辑：Matt J 2020-7-5
You can use this FEX submission,
https://www.mathworks.com/matlabcentral/fileexchange/77437-extract-linearly-independent-subset-of-matrix-columns
Example:
A =
1.0000 0.2000 3.0000 1.0000 0.2000 3.0000
-1.0000 0.3000 1.0000 -1.0000 0.3000 1.0000
2.0000 -4.0000 7.0000 2.0000 -4.0000 7.0000
>> licols(A)
ans =
1.0000 0.2000 3.0000
-1.0000 0.3000 1.0000
2.0000 -4.0000 7.0000

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