Linear independence after change of basis

cscott
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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?
 
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The linear independece or dependece of vectors does not depend on the chosen basis.
 
indeed. look at the definition. are you using some contrived matrix version of independence? or do you have the correct basis free definition?
 

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