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linear combination
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(Definition)
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A linear combination of vectors $\vec{v}_1,\dots,\vec{v}_n$ of a vector space $V$ over a field $F$ is a vector of the form $$\sum_{i=1}^n a_i\vec{v}_i,$$ where the $a_i$ are elements of $F$
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"linear combination" is owned by yark. [ full author list (2) | owner history (1) ]
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See Also: span
| Keywords: |
linear combination, span |
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Cross-references: field, vector space, vectors
There are 90 references to this entry.
This is version 12 of linear combination, born on 2001-11-13, modified 2004-04-05.
Object id is 805, canonical name is LinearCombination.
Accessed 15728 times total.
Classification:
| AMS MSC: | 15A03 (Linear and multilinear algebra; matrix theory :: Vector spaces, linear dependence, rank) |
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Pending Errata and Addenda
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