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
Read more about this topic: List Of Linear Algebra Topics
Famous quotes containing the word spaces:
“Though there were numerous vessels at this great distance in the horizon on every side, yet the vast spaces between them, like the spaces between the stars,—far as they were distant from us, so were they from one another,—nay, some were twice as far from each other as from us,—impressed us with a sense of the immensity of the ocean, the “unfruitful ocean,” as it has been called, and we could see what proportion man and his works bear to the globe.”
—Henry David Thoreau (1817–1862)