A map T: V → W with T(au + bv) = aT(u) + bT(v). In finite dimensions, a linear map is represented by a matrix once bases are chosen.
Linear map
Related concepts
- Vector space
- Matrix and determinant
- Eigenvalue / eigenvector
- Morphism (arrow) f: A → B
- Rank-nullity theorem
- Change of basis
- Dual space V*
- Representation theory
- LU decomposition
- Lorentz transformation
- Kirchhoff's current law (KCL)
- Kirchhoff's voltage law (KVL)
- Ohm's law
- Fluctuation-dissipation theorem
- Hartree-Fock theory