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- Triangular_matrix abstract "In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero. A triangular matrix is one that is either lower triangular or upper triangular. A matrix that is both upper and lower triangular is called a diagonal matrix.Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis. By the LU decomposition algorithm, an invertible matrix may be written as the product of a lower triangular matrix L and an upper triangular matrix U if and only if all its leading principal minors are non-zero.".
- Triangular_matrix thumbnail Cyclic_group_Z4;_Cayley_table;_powers_of_Gray_code_permutation_(small).svg?width=300.
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- Triangular_matrix wikiPageExternalLink books?id=fuONq1od6nsC&pg=PA178.
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- Triangular_matrix wikiPageRevisionID "683389173".
- Triangular_matrix wikiPageWikiLink Abelian_Lie_algebra.
- Triangular_matrix wikiPageWikiLink Abelian_group.
- Triangular_matrix wikiPageWikiLink Algebra_representation.
- Triangular_matrix wikiPageWikiLink Algebraically_closed_field.
- Triangular_matrix wikiPageWikiLink Algorithm.
- Triangular_matrix wikiPageWikiLink Associative_algebra.
- Triangular_matrix wikiPageWikiLink Bootstrapping_(finance).
- Triangular_matrix wikiPageWikiLink Borel_subalgebra.
- Triangular_matrix wikiPageWikiLink Borel_subgroup.
- Triangular_matrix wikiPageWikiLink C_Sharp_(programming_language).
- Triangular_matrix wikiPageWikiLink Category:Matrices.
- Triangular_matrix wikiPageWikiLink Category:Numerical_linear_algebra.
- Triangular_matrix wikiPageWikiLink Characteristic_polynomial.
- Triangular_matrix wikiPageWikiLink Cholesky_decomposition.
- Triangular_matrix wikiPageWikiLink Commutator.
- Triangular_matrix wikiPageWikiLink Commuting_matrices.
- Triangular_matrix wikiPageWikiLink Derived_Lie_algebra.
- Triangular_matrix wikiPageWikiLink Determinant.
- Triangular_matrix wikiPageWikiLink Diagonal_matrix.
- Triangular_matrix wikiPageWikiLink Eigenvalue.
- Triangular_matrix wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Triangular_matrix wikiPageWikiLink Engels_theorem.
- Triangular_matrix wikiPageWikiLink Field_(mathematics).
- Triangular_matrix wikiPageWikiLink Flag_(linear_algebra).
- Triangular_matrix wikiPageWikiLink Functional_analysis.
- Triangular_matrix wikiPageWikiLink Gaussian_elimination.
- Triangular_matrix wikiPageWikiLink General_linear_group.
- Triangular_matrix wikiPageWikiLink Group_(mathematics).
- Triangular_matrix wikiPageWikiLink Heisenberg_group.
- Triangular_matrix wikiPageWikiLink Hessenberg_matrix.
- Triangular_matrix wikiPageWikiLink Hilbert_space.
- Triangular_matrix wikiPageWikiLink Hilberts_Nullstellensatz.
- Triangular_matrix wikiPageWikiLink Identity_matrix.
- Triangular_matrix wikiPageWikiLink If_and_only_if.
- Triangular_matrix wikiPageWikiLink Invariant_subspace.
- Triangular_matrix wikiPageWikiLink Invertible_matrix.
- Triangular_matrix wikiPageWikiLink Isomorphic.
- Triangular_matrix wikiPageWikiLink Isomorphism.
- Triangular_matrix wikiPageWikiLink Jordan_normal_form.
- Triangular_matrix wikiPageWikiLink LU_decomposition.
- Triangular_matrix wikiPageWikiLink Lie_algebra.
- Triangular_matrix wikiPageWikiLink Lie_bracket.
- Triangular_matrix wikiPageWikiLink Lie_group.
- Triangular_matrix wikiPageWikiLink Lies_theorem.
- Triangular_matrix wikiPageWikiLink Lie–Kolchin_theorem.
- Triangular_matrix wikiPageWikiLink Linear_algebra.
- Triangular_matrix wikiPageWikiLink Main_diagonal.
- Triangular_matrix wikiPageWikiLink Mathematics.
- Triangular_matrix wikiPageWikiLink Matrix_(mathematics).
- Triangular_matrix wikiPageWikiLink Matrix_norm.
- Triangular_matrix wikiPageWikiLink Matrix_similarity.
- Triangular_matrix wikiPageWikiLink Minor_(linear_algebra).
- Triangular_matrix wikiPageWikiLink Multiset.
- Triangular_matrix wikiPageWikiLink Möbius_transformation.
- Triangular_matrix wikiPageWikiLink Nest_algebra.
- Triangular_matrix wikiPageWikiLink Nilpotent.
- Triangular_matrix wikiPageWikiLink Nilpotent_Lie_algebra.
- Triangular_matrix wikiPageWikiLink Nilpotent_matrix.
- Triangular_matrix wikiPageWikiLink Normal_matrix.
- Triangular_matrix wikiPageWikiLink Numerical_analysis.
- Triangular_matrix wikiPageWikiLink Parabolic_subgroup.
- Triangular_matrix wikiPageWikiLink Programming_language.
- Triangular_matrix wikiPageWikiLink QR_decomposition.
- Triangular_matrix wikiPageWikiLink Schur_decomposition.
- Triangular_matrix wikiPageWikiLink Semidirect_product.
- Triangular_matrix wikiPageWikiLink Similar_(linear_algebra).
- Triangular_matrix wikiPageWikiLink Similar_matrix.
- Triangular_matrix wikiPageWikiLink Solvable_Lie_algebra.
- Triangular_matrix wikiPageWikiLink Square_matrix.
- Triangular_matrix wikiPageWikiLink Standard_flag.
- Triangular_matrix wikiPageWikiLink Subalgebra.
- Triangular_matrix wikiPageWikiLink Transpose.
- Triangular_matrix wikiPageWikiLink Trapezoid.
- Triangular_matrix wikiPageWikiLink Triangular_array.
- Triangular_matrix wikiPageWikiLink Tridiagonal_matrix.
- Triangular_matrix wikiPageWikiLink Unipotent.
- Triangular_matrix wikiPageWikiLink Unitary_matrix.
- Triangular_matrix wikiPageWikiLink Yield_curve.
- Triangular_matrix wikiPageWikiLink File:Cyclic_group_Z4;_Cayley_table;_powers_of_Gray_code_permutation_(small).svg.
- Triangular_matrix wikiPageWikiLinkText "'''L'''ower-'''U'''pper".
- Triangular_matrix wikiPageWikiLinkText "Triangular matrix".
- Triangular_matrix wikiPageWikiLinkText "Triangular matrix#Application: back substitution".
- Triangular_matrix wikiPageWikiLinkText "Triangular matrix#Forward and back substitution".
- Triangular_matrix wikiPageWikiLinkText "Triangular matrix#Simultaneous triangularisability".
- Triangular_matrix wikiPageWikiLinkText "Triangular matrix#Strictly triangular matrix".
- Triangular_matrix wikiPageWikiLinkText "Triangular matrix#Unitriangular matrix".
- Triangular_matrix wikiPageWikiLinkText "addition matrices".
- Triangular_matrix wikiPageWikiLinkText "back substitution".
- Triangular_matrix wikiPageWikiLinkText "back-substitution".
- Triangular_matrix wikiPageWikiLinkText "forward and back substitution".
- Triangular_matrix wikiPageWikiLinkText "forward and backward substitution".