Statements (106)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
gptkb:mathematical_concept |
| gptkbp:appliesTo |
computer science
economics engineering physics statistics |
| gptkbp:hasConcept |
gptkb:Euclidean_space
gptkb:Kronecker_product gptkb:list gptkb:normed_vector_space gptkb:spectral_theorem gptkb:Cramer's_rule gptkb:transformation gptkb:Frobenius_norm gptkb:Gram-Schmidt_process gptkb:Hadamard_product gptkb:Jordan_normal_form gptkb:Gaussian_elimination gptkb:Gauss-Jordan_elimination gptkb:Moore-Penrose_pseudoinverse gptkb:Schur_decomposition Toeplitz matrix inner product inner product space orthogonal complement orthogonality orthonormal basis LU decomposition QR decomposition automorphism homomorphism diagonalization linear independence minimal polynomial orthogonal group outer product quadratic form subspace tensor product singular value decomposition linear operator quotient space Hermitian matrix basis bilinear form block matrix change of basis characteristic polynomial column space dimension direct sum dual space endomorphism idempotent matrix inverse matrix isomorphism linear combination linear span matrix congruence matrix decomposition matrix exponential matrix multiplication matrix norm matrix rank matrix similarity nilpotent matrix null space permutation matrix positive definite matrix projection row reduction row space span spectral radius symmetric matrix trace unitary matrix companion matrix band matrix circulant matrix eigenspace elementary matrix matrix logarithm nonsingular matrix projection matrix singular matrix trace class operator triangular matrix |
| gptkbp:hasSubfield |
matrix theory
tensor algebra vector algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
Linear Algebra
|
| gptkbp:studies |
eigenvalues
eigenvectors matrices vector spaces systems of linear equations determinants linear mappings |
| gptkbp:bfsParent |
gptkb:Wolfgang_H._Greub
gptkb:Skew_Lines gptkb:Princeton_Mathematical_Series gptkb:Tufts_University_Department_of_Mathematics gptkb:Georgiy_Shilov |
| gptkbp:bfsLayer |
6
|