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Suppose we have a vector space V of dimension n. Let R be a linearly independent set with order n-2. Let S be a spanning set with order n+2. Outline a strategy to extend R to a basis for V. Outline a strategy to pare down S to a basis for V.

Suppose we have a vector space V of dimension n. Let R be a linearly independent set with order n-2. Let S be a

spanning set with order n+2. Outline a strategy to extend R to a basis for V. Outline a strategy to pare down S to a basis for V.

 
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