(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A set of 6 vectors in R5 cannot be a basis for R5, true or false?

3. The attempt at a solution

I'm thinking true, because any set of 6 vectors in R5 is linearly dependent, even though some sets of 6 vectors in R5 span R5.

To be a basis it must be a linearly independent spanning set, so if it's linearly dependent, it cannot be a basis.

Am I correct?

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# Homework Help: A set of 6 vectors in R5 cannot be a basis for R5, true or false?

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