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Vector space

A vector space consists of vectors that may be added and multiplied by scalars, subject to the vector-space axioms.

Table of contents 685 36
- Linear combination Vector space 15
- Scalar multiple Vector space 19
- Dimension of a vector space Vector space 14
- Direct sum Vector space 88 2
  - Dimension formula for a sum of subspaces Direct sum 13
  - Direct-sum complement Direct sum 30
- Linear independence Vector space 25 1
  - Linear dependence Linear independence 15
- Basis Vector space 12
- Vector Vector space 31 1
  - Cross product Vector 23
- Scalar Vector space 13
- Linear map Vector space 450 23
  - First isomorphism theorem for vector spaces Linear map 20
  - Linear isomorphism Linear map 12
  - Linear function Linear map 13
  - Linearity Linear map 6
  - Superposition principle Linear map 13
  - Linear operator Linear map 83 3
    - Unitary operator Linear operator 18
    - Conjugate linear operators Linear operator 56 1
      - Conjugation operator on an endomorphism space Conjugate linear operators 26
  - Matrix Linear map 294 13
    - Matrix power Matrix 23
    - Matrix element Matrix 17
    - Matrix unit Matrix 34
    - Matrix rank Matrix 19
    - Identity matrix Matrix 20
    - Rank-one matrix Matrix 18
    - Upper bidiagonal matrix Matrix 16
    - Matrix multiplication Matrix 33 1
      - Outer product Matrix multiplication 21
    - Upper Hessenberg matrix Matrix 15
    - Permutation matrix Matrix 27
    - Matrix representation of a linear map Matrix 27
    - Kronecker product Matrix 31

 Ancestors (5)

 Incoming links (21)