Statements (104)
| 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:inner_product_space gptkb:transformation gptkb:Frobenius_norm gptkb:Gram-Schmidt_process gptkb:Hadamard_product gptkb:Jordan_normal_form gptkb:dimension gptkb:inner_product gptkb:isomorphism gptkb:matrix_decomposition gptkb:matrix_norm gptkb:unitary_matrix gptkb:Gaussian_elimination gptkb:Gauss-Jordan_elimination gptkb:Moore-Penrose_pseudoinverse gptkb:Schur_decomposition gptkb:orthogonal_group gptkb:automorphism gptkb:linear_operator gptkb:quotient_space Toeplitz matrix orthogonal complement orthogonality orthonormal basis LU decomposition QR decomposition homomorphism diagonalization linear independence minimal polynomial outer product quadratic form subspace tensor product singular value decomposition Hermitian matrix basis bilinear form block matrix change of basis characteristic polynomial column space direct sum dual space endomorphism idempotent matrix inverse matrix linear combination linear span matrix congruence matrix exponential matrix multiplication matrix rank matrix similarity nilpotent matrix null space permutation matrix positive definite matrix projection row reduction row space span spectral radius symmetric matrix trace 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 |
| gptkbp:studies |
eigenvalues
eigenvectors matrices vector spaces systems of linear equations determinants linear mappings |
| gptkbp:bfsParent |
gptkb:Wolfgang_H._Greub
gptkb:Skew_Lines gptkb:Tufts_University_Department_of_Mathematics |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Linear Algebra
|