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