Example image of eyePlorer eyePlorer map for 'Orthogonal complement': Functional analysis Inner product space Linear algebra Linear subspace Mathematics Orthogonality Hilbert space Closure (topology) Annihilator (ring theory) Closure operator Galois connection Banach space Column space Kernel (matrix) Row space Dual space Isomorphism Natural transformation Reflexive space Hahn–Banach theorem Partial isometry Annihilating space Normal bundle Fredholm's theorem Busemann's theorem Fundamental theorem of linear algebra Kernel (linear operator) Affine involution Stiefel manifold Complemented lattice Unitary representation Row equivalence Seven-dimensional cross product Complement (mathematics) Moore–Penrose pseudoinverse Complex manifold Euclidean subspace Self-adjoint operator Symplectic vector space Degrees of freedom (statistics) Grassmannian Projection (linear algebra) Perturbation theory (quantum mechanics) Direct sum of modules Representation theory Theorems and definitions in linear algebra