Glossary of Linear Algebra Terms

  • 1-to-1
  • Basis
  • Characteristic polynomial of a matrix
  • Codomain
  • Column space
  • Consistent
    • A system of linear equations is consistent if it has a solution.
  • Defective matrix
  • Determinant
  • Diagonalizable matrix
  • Dimension
  • Domain
  • Dot Product
  • Eigenspace of a matrix
  • Eigenvalue of a matrix
  • Eigenvector of a matrix
  • Equivalent linear system
  • Field
  • Gauss reduction
  • Homogeneous
  • Identity matrix
  • Image
  • Inconsistent linear system
  • Inverse/Invertible
    • If and are square matrices and then is the inverse of .
    • See Inverse Matrix
  • Least-squares solution of a linear system
  • Linear combination
  • Linearly dependent
  • Linearly independent
  • Linear transformation
  • LU Decomposition
  • Algebraic multiplicity of an eigenvalue
  • Geometric multiplicity of an eigenvalue
  • Matrix
  • Nonsingular matrix
  • Null space
  • Nullity
  • onto
  • Orthogonal matrix / vectors
  • Pivot
  • Range
  • Rank of matrix / linear transformation
  • Row equivalent matrices
  • Row echelon form/row reduced echelon form
  • Row space
  • Scalar
  • Singular matrix
  • Span of a set of vectors
  • Subspace
  • Symmetric matrix
  • Triangular matrix
  • Trivial solution
  • Vector space