Let S be a finite minimal spanning set of a vector space V

Chapter , Problem 11E

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QUESTION:

Problem 11E

Let S be a finite minimal spanning set of a vector space V . That is, S has the property that if a vector is removed from S, then the new set will no longer span V . Prove that S must be a basis for V.

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QUESTION:

Problem 11E

Let S be a finite minimal spanning set of a vector space V . That is, S has the property that if a vector is removed from S, then the new set will no longer span V . Prove that S must be a basis for V.

ANSWER:

Solution 11E

Consider that S be a finite minimal spanning set of a vector space V.

The objective is to prove that S must be basis for V.

Suppose that S be a finite minimal spanning set of a vector space V and that S is linear

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