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Get maximally linearly independent set of vectors

asked 2022-10-01 00:11:28 +0100

kevinfat gravatar image

Given a matrix where each row represents a vector how can I find a set of maximally linearly independent vectors from the collection of vectors. I'm not looking for a echelon form from which I can get a representation for the span I want my representation of the span to only use the original vectors. Does Sage have functions to easily do this?

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answered 2022-10-01 03:06:03 +0100

Max Alekseyev gravatar image

updated 2022-10-01 03:06:37 +0100

Yes, a maximal collection of linearly independent rows can be found by calling M.pivot_rows() for a given matrix M.

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Asked: 2022-10-01 00:11:28 +0100

Seen: 162 times

Last updated: Oct 01 '22