Linear independence after change of basis

cscott · Sep 14, 2007

Will a set of vectors stay linearly independent after a change of basis? If it's not always true then is it likely or would you need a really contrived situation?

jostpuur · Sep 14, 2007

The linear independece or dependece of vectors does not depend on the chosen basis.

mathwonk · Sep 17, 2007

indeed. look at the definition. are you using some contrived matrix version of independence? or do you have the correct basis free definition?

Linear independence after change of basis

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Linear independence after change of basis

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