Category:Examples of Bases of Vector Spaces

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This category contains examples of Basis of Vector Space.

Let $K$ be a division ring.

Let $\struct {G, +_G, \circ}_K$ be a vector space over $K$.


Definition 1

A basis of $G$ is a linearly independent subset of $G$ which is a generator for $G$.


Definition 2

A basis is a maximal linearly independent subset of $G$.

Pages in category "Examples of Bases of Vector Spaces"

The following 3 pages are in this category, out of 3 total.