Linear Algebra/Basis and Dimension

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← Definition and Examples of Linear Independence Basis and Dimension Basis →

The prior section ends with the statement that a spanning set is minimal when it is linearly independent and a linearly independent set is maximal when it spans the space. So the notions of minimal spanning set and maximal independent set coincide. In this section we will name this idea and study its properties.

← Definition and Examples of Linear Independence Basis and Dimension Basis →