List of Linear Algebra Topics - Vector Spaces

Vector Spaces

  • Basis
    • Change of basis
    • Hamel basis
  • Dimension theorem for vector spaces
    • Hamel dimension
  • Examples of vector spaces
  • Linear map
    • Shear mapping or Galilean transformation
    • Squeeze mapping or Lorentz transformation
  • Column space
  • Row space
  • Null space, nullity
  • Rank-nullity theorem
  • Nullity theorem
  • Dual space
    • Linear function
    • Linear functional
  • Orthogonality
  • Orthogonal complement
  • Orthogonal projection
  • Outer product
  • Improper rotation
  • Category of vector spaces
  • Linear subspace
    • Euclidean subspace
  • Normed vector space
  • Inner product space

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