Every Vector Space V Has a Finite Set S Which

question 32

True/False

Every vector space V has a finite set S which both spans V and is linearly independent in V.

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Definitions:

Empirical Claims

Claims that can be true or false depending on the facts.

Prove

To demonstrate the truth or existence of something through evidence or argument.

Confirmation Bias

The tendency to search for, interpret, and remember information in a way that confirms one's preconceptions.

Hypothesis

A proposed explanation made on the basis of limited evidence as a starting point for further investigation.