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Examples of vector spaces : ウィキペディア英語版
Examples of vector spaces

This page lists some examples of vector spaces. See vector space for the definitions of terms used on this page. See also: dimension, basis.
''Notation''. We will let F denote an arbitrary field such as the real numbers R or the complex numbers C. See also: table of mathematical symbols.
==Trivial or zero vector space==
(詳細はvector spaces). Both vector addition and scalar multiplication are trivial. A basis for this vector space is the empty set, so that is the 0-dimensional vector space over F. Every vector space over F contains a subspace isomorphic to this one.
The zero vector space is different from the null space of a linear operator F, which is the kernel of F.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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