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单词 NondegenerateBilinearForm
释义

non-degenerate bilinear form


A bilinear formPlanetmathPlanetmath B over a vector spaceMathworldPlanetmath V is said to be non-degenerate when

  • if B(𝐱,𝐲)=0 for all 𝐱V, then 𝐲=𝟎, and

  • if B(𝐱,𝐲)=0 for all 𝐲V, then 𝐱=𝟎.

Titlenon-degenerate bilinear form
Canonical nameNondegenerateBilinearForm
Date of creation2013-03-22 12:25:56
Last modified on2013-03-22 12:25:56
Ownerdjao (24)
Last modified bydjao (24)
Numerical id5
Authordjao (24)
Entry typeDefinition
Classificationmsc 47A07
Classificationmsc 15A63
Classificationmsc 11E39
Synonymnon-degenerate form
Synonymnondegenerate bilinear form
Synonymnondegenerate form
Synonymnon-degenerate
Synonymnondegenerate
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