nLab
zero vector
Contents
Context
Linear algebra
linear algebra, higher linear algebra
Ingredients
Basic concepts
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ring, A-∞ ring
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commutative ring, E-∞ ring
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module, ∞-module, (∞,n)-module
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field, ∞-field
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vector space, 2-vector space
rational vector space
real vector space
complex vector space
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topological vector space
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linear basis,
orthogonal basis, orthonormal basis
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linear map, antilinear map
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matrix (square, invertible, diagonal, hermitian, symmetric, …)
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general linear group, matrix group
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eigenspace, eigenvalue
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inner product, Hermitian form
Gram-Schmidt process
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Hilbert space
Theorems
(…)
Contents
Idea
Given a vector space , its zero vector, denoted , is the vector which is the neutral element of the underlying abelian group.
Even though the notation is the same, notice the difference to the zero element of the ground field .
Last revised on April 18, 2024 at 03:50:18.
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