I have these questions and cannot find a proof in the textbook:(adsbygoogle = window.adsbygoogle || []).push({});

when one finds eigenvectors of a matrix they form its eigenspace, i.e. they are lin indep, how is it proved?

And also a matrix is deficient, when one does not get "enough" eigenvectors to span R^n, so maybe I am wrong, but it seems that the technique of finding eigenvectors eliminates lin dependent eigenvectors if there were such. How so?

Thanks as usual!

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# Eigenspace and lin dependency proof

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