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- ...ent]] for [[matrix multiplication]] and as the [[additive identity]] for [[matrix addition]]. It represents the zero [[linear map]]. ...may be denoted <math>\scriptstyle 0_{m,n}</math> for an ''m''×''n'' matrix, so (for example)1 KB (172 words) - 16:40, 6 February 2009
- A '''matrix''' (plural "matrices") is a mathematical construct generally represented as ...ormation]] can be represented by a [[uniqueness|unique]] matrix, and every matrix represents a unique linear transformation.15 KB (2,209 words) - 02:10, 14 February 2010
- A matrix consisting entirely of zero entries.81 bytes (10 words) - 15:11, 11 December 2008
- 22 bytes (2 words) - 08:33, 14 January 2009
- In [[matrix algebra]], the '''inverse''' of a [[square matrix]] '''A''' is '''X''' if where '''I'''<sub>''n''</sub> is the ''n''-by-''n'' [[identity matrix]]1 KB (158 words) - 00:36, 18 April 2009
- ...matrix''' is synonymous with a 3×3 [[orthogonal matrix]], which is a matrix '''R''' satisfying ...the [[transposed matrix]] and '''R'''<sup>−1</sup> is the [[inverse matrix| inverse]] of '''R'''.22 KB (3,624 words) - 01:45, 26 October 2013
- #REDIRECT [[Identity matrix]]29 bytes (3 words) - 17:27, 9 December 2008
- #REDIRECT [[Diagonal matrix#Diagonalizable matrix]]51 bytes (5 words) - 16:29, 11 December 2008
- 22 bytes (2 words) - 12:58, 17 June 2009
- #REDIRECT [[Matrix inverse]]28 bytes (3 words) - 17:38, 9 December 2008
- #REDIRECT [[Matrix#Matrix addition]]36 bytes (4 words) - 15:24, 12 December 2008
- 118 bytes (14 words) - 12:49, 14 June 2008
- In [[matrix algebra]], a '''diagonal matrix''' is a [[square matrix]] for which only the entries on the main [[diagonal]] can be non-zero, and The [[matrix addition|sum]] and [[matrix multiplication|product]] of diagonal matrices are again diagonal, and the d2 KB (230 words) - 02:39, 7 January 2009
- ...x conjugate|complex conjugate]] of the corresponding entry in the original matrix: or in matrix notation:6 KB (1,000 words) - 10:33, 3 February 2011
- #REDIRECT [[Matrix#Matrix multiplication]]42 bytes (4 words) - 15:25, 12 December 2008
- #REDIRECT [[Matrix]]20 bytes (2 words) - 02:08, 10 December 2008
- #REDIRECT [[Matrix#Idempotent Matrix]]38 bytes (4 words) - 15:34, 12 December 2008
- ...ath>A</math> of a [[Graph (mathematics)|graph]] ''G'' = (''V'',''E'') is a matrix used to determine the existence of a [[perfect matching]]: that is, a set o ...tices ''V'' has 2''n'' elements then the Tutte matrix is a 2''n'' × 2''n'' matrix A with entries2 KB (259 words) - 17:10, 28 October 2008
- #REDIRECT [[Matrix inverse]]28 bytes (3 words) - 02:13, 10 December 2008
- #REDIRECT [[Matrix#Symmetric matrix]]37 bytes (4 words) - 02:20, 10 December 2008
- 12 bytes (1 word) - 19:54, 7 October 2007
- #REDIRECT [[Resultant (algebra)#Sylvester matrix]]50 bytes (5 words) - 16:34, 17 December 2008
- ...cation]]. Its entries are those of the [[Kronecker delta]]. The identity matrix represents the [[identity function]] as a [[linear map|linear operator]] on The identity matrix is also known as '''unit matrix''' because it possesses many of the properties of the multiplicative unit o1,020 bytes (136 words) - 10:39, 23 April 2009
- #REDIRECT [[Matrix#Orthogonal matrix]]38 bytes (4 words) - 02:32, 10 December 2008
- #REDIRECT [[Matrix#Square matrices]]36 bytes (4 words) - 14:38, 7 November 2008
- 36 bytes (3 words) - 16:06, 10 December 2008
- #REDIRECT [[Matrix#Operations]]31 bytes (3 words) - 07:39, 22 December 2008
- 36 bytes (3 words) - 16:09, 10 December 2008
- * ''Basic Matrix Theory'', Leonard E. Fuller, Prentice-Hall, 1962 * ''Matrix Computations'', Gene H.Golub and Charles F. Van Loan, John Hopkins Universi336 bytes (40 words) - 15:20, 14 November 2007
- #REDIRECT [[Matrix#Scalar matrix]]34 bytes (4 words) - 09:39, 22 December 2008
- ...h ones on the main diagonal and zeroes elsewhere: the identity element for matrix multiplication.152 bytes (21 words) - 13:19, 5 December 2008
- A square matrix which has zero entries off the main diagonal.97 bytes (14 words) - 15:25, 11 December 2008
- Matrix which equals its conjugate transpose matrix, that is, is self-adjoint.114 bytes (14 words) - 08:43, 4 September 2009
- 12 bytes (1 word) - 13:13, 23 January 2008
- ...imes;3 proper (unit determinant) orthogonal (orthonormal rows and columns) matrix122 bytes (14 words) - 03:42, 13 July 2009
- ...ctions of the Hamiltonian of spherical and symmetric [[rigid rotor]]s. The matrix was introduced by [[E. Wigner]] in 1927<ref>E. Wigner, ''Einige Folgerungen === Definition Wigner D-matrix ===11 KB (1,671 words) - 06:37, 1 November 2009
- 896 bytes (141 words) - 14:11, 9 January 2013
- A matrix used to determine the existence of a perfect matching in a graph: that is,183 bytes (31 words) - 17:13, 28 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Zero matrix]]. Needs checking by a human. {{r|Diagonal matrix}}514 bytes (67 words) - 21:47, 11 January 2010
- #REDIRECT [[Matrix#Antisymmetric matrix]]41 bytes (4 words) - 07:37, 22 December 2008
- 12 bytes (1 word) - 12:47, 3 November 2007
- The equivalent of the [[reciprocal]] defined for certain [[matrix|matrices]].113 bytes (13 words) - 15:39, 10 November 2008
- Auto-populated based on [[Special:WhatLinksHere/Hermitian matrix]]. Needs checking by a human. {{r|Matrix}}585 bytes (74 words) - 17:10, 11 January 2010
- 12 bytes (1 word) - 23:12, 15 November 2007
- Auto-populated based on [[Special:WhatLinksHere/Tutte matrix]]. Needs checking by a human.430 bytes (56 words) - 21:08, 11 January 2010
- matrix in an irreducible representation of the groups SU(2) and SO(3); quantum mec155 bytes (19 words) - 09:20, 12 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Matrix inverse]]. Needs checking by a human. {{r|Matrix}}498 bytes (63 words) - 18:22, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Identity matrix]]. Needs checking by a human. {{r|Diagonal matrix}}965 bytes (124 words) - 17:23, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Diagonal matrix]]. Needs checking by a human. {{r|Identity matrix}}550 bytes (71 words) - 15:57, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Rotation matrix]]. Needs checking by a human. {{r|Identity matrix}}631 bytes (81 words) - 20:07, 11 January 2010
Page text matches
- ...ent]] for [[matrix multiplication]] and as the [[additive identity]] for [[matrix addition]]. It represents the zero [[linear map]]. ...may be denoted <math>\scriptstyle 0_{m,n}</math> for an ''m''×''n'' matrix, so (for example)1 KB (172 words) - 16:40, 6 February 2009
- #REDIRECT [[Diagonal matrix#Diagonalizable matrix]]51 bytes (5 words) - 16:29, 11 December 2008
- ...cation]]. Its entries are those of the [[Kronecker delta]]. The identity matrix represents the [[identity function]] as a [[linear map|linear operator]] on The identity matrix is also known as '''unit matrix''' because it possesses many of the properties of the multiplicative unit o1,020 bytes (136 words) - 10:39, 23 April 2009
- In [[matrix algebra]], a '''diagonal matrix''' is a [[square matrix]] for which only the entries on the main [[diagonal]] can be non-zero, and The [[matrix addition|sum]] and [[matrix multiplication|product]] of diagonal matrices are again diagonal, and the d2 KB (230 words) - 02:39, 7 January 2009
- #REDIRECT [[Matrix#Idempotent Matrix]]38 bytes (4 words) - 15:34, 12 December 2008
- #REDIRECT [[Matrix#Antisymmetric matrix]]41 bytes (4 words) - 07:37, 22 December 2008
- #REDIRECT [[Matrix#Symmetric matrix]]37 bytes (4 words) - 02:20, 10 December 2008
- #REDIRECT [[Matrix#Matrix addition]]36 bytes (4 words) - 15:24, 12 December 2008
- #REDIRECT [[Matrix#Scalar matrix]]34 bytes (4 words) - 09:39, 22 December 2008
- #REDIRECT [[Matrix#Orthogonal matrix]]38 bytes (4 words) - 02:32, 10 December 2008
- #REDIRECT [[Matrix#Matrix multiplication]]42 bytes (4 words) - 15:25, 12 December 2008
- ...h ones on the main diagonal and zeroes elsewhere: the identity element for matrix multiplication.152 bytes (21 words) - 13:19, 5 December 2008
- Matrix which equals its conjugate transpose matrix, that is, is self-adjoint.114 bytes (14 words) - 08:43, 4 September 2009
- ...ixation and the organelles DNA; thylakoid membranes are surrounded by this matrix.180 bytes (26 words) - 15:56, 17 May 2010
- Auto-populated based on [[Special:WhatLinksHere/Identity matrix]]. Needs checking by a human. {{r|Diagonal matrix}}965 bytes (124 words) - 17:23, 11 January 2010
- * ''Basic Matrix Theory'', Leonard E. Fuller, Prentice-Hall, 1962 * ''Matrix Computations'', Gene H.Golub and Charles F. Van Loan, John Hopkins Universi336 bytes (40 words) - 15:20, 14 November 2007
- In [[matrix algebra]], the '''inverse''' of a [[square matrix]] '''A''' is '''X''' if where '''I'''<sub>''n''</sub> is the ''n''-by-''n'' [[identity matrix]]1 KB (158 words) - 00:36, 18 April 2009
- Auto-populated based on [[Special:WhatLinksHere/Diagonal matrix]]. Needs checking by a human. {{r|Identity matrix}}550 bytes (71 words) - 15:57, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Zero matrix]]. Needs checking by a human. {{r|Diagonal matrix}}514 bytes (67 words) - 21:47, 11 January 2010
- ...nent of a matrix computation of the determinant; a signed determinant of a matrix minor.131 bytes (19 words) - 16:33, 10 December 2008
- ...a broad range of topics, such as [[systems of linear equations]], [[matrix|matrix algebra]], and [[arrow]]s in [[Cartesian coordinates|Cartesian]] two-dimens ...x algebra]], [[eigenvalue]]s and [[eigenvector]]s, [[linear operators]], [[matrix representation]]s, and [[inner product]]s find broad application in [[scien975 bytes (135 words) - 02:13, 3 September 2010
- ...s automorphism]] applied to the first column, i.e., an ''m'' × ''n'' matrix ...indices ''i'' and ''j''. (Some authors use the [[transpose]] of the above matrix.)1 KB (199 words) - 15:30, 7 December 2008
- ...f a [[square matrix]] is a polynomial which has the [[eigenvalue]]s of the matrix as roots. Let ''A'' be an ''n''×''n'' matrix. The characteristic polynomial of ''A'' is the determinant911 bytes (131 words) - 22:35, 17 February 2009
- #REDIRECT [[Matrix]]20 bytes (2 words) - 02:08, 10 December 2008
- #redirect [[matrix]]20 bytes (2 words) - 07:05, 26 January 2009
- #REDIRECT [[Identity matrix]]29 bytes (3 words) - 17:27, 9 December 2008
- #REDIRECT [[Matrix inverse]]28 bytes (3 words) - 17:38, 9 December 2008
- #REDIRECT [[Matrix#Operations]]31 bytes (3 words) - 07:39, 22 December 2008
- #REDIRECT [[Matrix inverse]]28 bytes (3 words) - 02:13, 10 December 2008
- ...'A''' ''v'' = λ ''v''; the number λ is the eigenvalue of the matrix '''A''' belonging to the eigenvector ''v''.217 bytes (33 words) - 02:56, 2 February 2009
- #REDIRECT [[Wigner D-matrix]]29 bytes (3 words) - 06:54, 5 September 2007
- #REDIRECT [[Matrix#Square matrices]]36 bytes (4 words) - 14:38, 7 November 2008
- ...ath>A</math> of a [[Graph (mathematics)|graph]] ''G'' = (''V'',''E'') is a matrix used to determine the existence of a [[perfect matching]]: that is, a set o ...tices ''V'' has 2''n'' elements then the Tutte matrix is a 2''n'' × 2''n'' matrix A with entries2 KB (259 words) - 17:10, 28 October 2008
- #REDIRECT [[Resultant (algebra)#Sylvester matrix]]50 bytes (5 words) - 16:34, 17 December 2008
- A matrix consisting entirely of zero entries.81 bytes (10 words) - 15:11, 11 December 2008
- ...[[matrix multiplication]]; a [[zero matrix]] is the identity element for [[matrix addition]].927 bytes (140 words) - 15:33, 8 December 2008
- {{r|Diagonal matrix}} {{r|Identity matrix}}949 bytes (118 words) - 16:12, 11 January 2010
- A square matrix which has zero entries off the main diagonal.97 bytes (14 words) - 15:25, 11 December 2008
- The monic polynomial of least degree which a square matrix or endomorphism satisfies.121 bytes (16 words) - 17:52, 11 December 2008
- ** The [[identity matrix]], the neutral element for [[matrix multiplication]].591 bytes (78 words) - 12:52, 31 May 2009
- The equivalent of the [[reciprocal]] defined for certain [[matrix|matrices]].113 bytes (13 words) - 15:39, 10 November 2008
- {{r|Hermitian matrix}} {{r|Identity matrix}}496 bytes (64 words) - 19:24, 11 January 2010
- ...]] created by the [[MathWorks]]. MATLAB allows easy [[Matrix (mathematics)|matrix]] manipulation, implementation of algorithms, plotting of [[Function (mathe1 KB (141 words) - 11:14, 2 August 2010
- ...in generalized continued fractions and as the determinant of a tridiagonal matrix.165 bytes (21 words) - 15:39, 28 October 2008
- ...imes;3 proper (unit determinant) orthogonal (orthonormal rows and columns) matrix122 bytes (14 words) - 03:42, 13 July 2009
- The polynomial attached to a square matrix or endomorphism det(A-XI)=0.107 bytes (14 words) - 17:55, 11 December 2008
- ...''' is a component of a [[matrix (mathematics)|matrix]] computation of the matrix [[determinant]]. Let ''M'' be a [[square matrix]] of size ''n''. The (''i'',''j'') '''minor''' refers to the determinant o3 KB (430 words) - 06:46, 23 November 2009
- matrix in an irreducible representation of the groups SU(2) and SO(3); quantum mec155 bytes (19 words) - 09:20, 12 October 2008
- Auto-populated based on [[Special:WhatLinksHere/Matrix inverse]]. Needs checking by a human. {{r|Matrix}}498 bytes (63 words) - 18:22, 11 January 2010
- Auto-populated based on [[Special:WhatLinksHere/Hermitian matrix]]. Needs checking by a human. {{r|Matrix}}585 bytes (74 words) - 17:10, 11 January 2010