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DS-1000 / 348 / How to get one maximal set of linearly independent vectors of a given matrix…

Problem

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Problem:
How to get one maximal set of linearly independent vectors of a given matrix `a`?
For example, [[0 1 0 0], [0 0 1 0], [1 0 0 1]] in [[0 1 0 0], [0 0 1 0], [0 1 1 0], [1 0 0 1]]
A:
<code>
import numpy as np
a = np.array([[0,1,0,0], [0,0,1,0], [0,1,1,0], [1,0,0,1]])
</code>
result = ... # put solution in this variable
BEGIN SOLUTION
<code>

library

Numpy

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Source and history

upstream_id / Original problem ID
348
task_id
67a33388-06ae-5e82-9be3-b734745bd1df
task_key
default--test--348
task_revision_id
1
config / split
default / test

Official source

initial import