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Let S be a finite minimal spanning set of a vector space V
Chapter , Problem 11E(choose chapter or problem)
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.
Questions & Answers
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