Math 2.0

Linear and multilinear algebra; matrix theory Vector spaces Concept

External direct sum

Summary

The external direct sum of a family of vector spaces is the space of families of vectors, one vector from each space. Only finitely many entries of such a family are nonzero. For finitely many spaces it is the product of the spaces.

Where this leads

2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Direct_sum_of_modules, Construction for two vector spaces
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Tag0S7W6EG32V
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Kindconcept
WritingW0 stub
MSC15A03, 16D10
SpecializesVector space

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