2

Get maximally linearly independent set of vectors

linear-algebra

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

kevinfat
71 ●2 ●8 ●13

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

flag of United States of America

6560 ●9 ●47 ●155

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

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