Hi, i'm reading up on linear algebra and I'm wondering if the remark after a theorem I'm reading here is complete. The theorem states:(adsbygoogle = window.adsbygoogle || []).push({});

"If {V_1,V_2,...,V_k} is an orthogonal set of nonzero vectors then these vectors are linearly independent."

Remark after that simply states that if a set of vectors are linearly independent they are not necessarily orthogonal.

If the dimension you're working with is R^n I find that if you have a set of 2*n linearly independent vectors in that dimension then they are necessarily orthogonal. Am I thinking about this the wrong way?

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# Linear independancy and orthogonality of vectors

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