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- For many years I used "unit matrix" as a synonym for "identity matrix". On WP I got into problems over this, because people claimed that a unit m342 bytes (56 words) - 03:19, 8 November 2008
- ...multiplication]]. 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 propert1,020 bytes (136 words) - 10:39, 23 April 2009
- | pagename = Identity matrix | abc = Identity matrix2 KB (226 words) - 07:21, 15 March 2024
- 152 bytes (21 words) - 13:19, 5 December 2008
- Auto-populated based on [[Special:WhatLinksHere/Identity matrix]]. Needs checking by a human.965 bytes (124 words) - 17:23, 11 January 2010
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- ...multiplication]]. 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 propert1,020 bytes (136 words) - 10:39, 23 April 2009
- For many years I used "unit matrix" as a synonym for "identity matrix". On WP I got into problems over this, because people claimed that a unit m342 bytes (56 words) - 03:19, 8 November 2008
- Auto-populated based on [[Special:WhatLinksHere/Identity matrix]]. Needs checking by a human.965 bytes (124 words) - 17:23, 11 January 2010
- ** The [[identity matrix]], the neutral element for [[matrix multiplication]].591 bytes (78 words) - 12:52, 31 May 2009
- The [[zero matrix]] and the [[identity matrix]] are diagonal: they are the [[additive identity|additive]] and [[multiplic2 KB (230 words) - 02:39, 7 January 2009
- As with the [[identity matrix]], the subscript may be omitted if the context admits only one zero matrix.1 KB (172 words) - 16:40, 6 February 2009
- * An [[identity matrix]] is the identity element for [[matrix multiplication]]; a [[zero matrix]]927 bytes (140 words) - 15:33, 8 December 2008
- {{r|Identity matrix}}514 bytes (67 words) - 21:47, 11 January 2010
- #REDIRECT [[Identity matrix]]29 bytes (3 words) - 17:27, 9 December 2008
- {{r|Identity matrix}}550 bytes (71 words) - 15:57, 11 January 2010
- where '''I'''<sub>''n''</sub> is the ''n''-by-''n'' [[identity matrix]]1 KB (158 words) - 00:36, 18 April 2009
- where ''X'' is an indeterminate and ''I''<sub>''n''</sub> is an [[identity matrix]].911 bytes (131 words) - 22:35, 17 February 2009
- {{r|Identity matrix}}568 bytes (70 words) - 17:23, 11 January 2010
- {{r|Identity matrix}}949 bytes (118 words) - 16:12, 11 January 2010
- {{r|Identity matrix}}496 bytes (64 words) - 19:24, 11 January 2010
- {{r|Identity matrix}}559 bytes (73 words) - 18:06, 11 January 2010
- {{r|Identity matrix}}721 bytes (92 words) - 17:54, 11 January 2010
- {{r|Identity matrix}}631 bytes (81 words) - 20:07, 11 January 2010
- ...quare matrices]] under [[matrix multiplication]] form a monoid, with the [[identity matrix]] as the identity element: this monoid is not in general commutative.3 KB (526 words) - 11:02, 23 December 2008
- {{r|Identity matrix}}1,006 bytes (129 words) - 20:33, 11 January 2010
- where det means the [[determinant]], <math>I</math> is the [[identity matrix]] of the same [[dimension]] as <math>A</math>,4 KB (731 words) - 17:16, 11 December 2008
- | pagename = Identity matrix | abc = Identity matrix2 KB (226 words) - 07:21, 15 March 2024
- ...n to vary from 1 to ''n'' then δ gives the entries of the ''n''-by-''n'' [[identity matrix]]. The invariance of this matrix under [[orthogonal matrix|orthogonal]] ch1 KB (209 words) - 07:59, 22 December 2008
- {{r|Identity matrix}}442 bytes (56 words) - 19:57, 11 January 2010
- {{r|Identity matrix}}471 bytes (60 words) - 18:06, 11 January 2010
- {{r|Identity matrix}}553 bytes (67 words) - 11:46, 11 January 2010
- {{r|Identity matrix}}625 bytes (78 words) - 18:37, 11 January 2010
- ...2 Hermitian matrix may be written as a linear combination of the 2×2 identity matrix and the three [[Pauli spin matrices]]. These matrices have use in [[Quantum6 KB (1,000 words) - 10:33, 3 February 2011
- === Identity matrix === {{main|Identity matrix}}15 KB (2,209 words) - 02:10, 14 February 2010
- {{r|Identity matrix}}849 bytes (109 words) - 21:28, 11 January 2010
- {{rpl|Identity matrix}}5 KB (628 words) - 04:35, 22 November 2023
- ...''<sub>''i''</sub>} such that the [[overlap matrix]] is not equal to the [[identity matrix]], ...e metric tensor is a function of position and cannot be transformed to an identity matrix by a global transformation, i.e., by a single transformation holding on t9 KB (1,403 words) - 02:22, 14 October 2013
- where '''E''' is the 3×3 identity matrix and superscript T indicates the transposed matrix. Clearly a rotation matri12 KB (1,865 words) - 02:49, 19 April 2010
- where '''E''' is the 3×3 [[identity matrix]].8 KB (1,366 words) - 09:12, 10 August 2009
- where we used '''B B'''<sup>−1</sup> = '''E''' (the identity matrix). \mathrm{Tr}( \mathbf{E}) &= n \qquad\hbox{(trace of identity matrix)}\\12 KB (1,903 words) - 10:57, 2 February 2009
- ...trix|Hermitian matrices]] which form an orthogonal basis (along with the [[identity matrix]]) for the real [[Hilbert space]] of 2 × 2 Hermitian matric ...mbol]], <math>\delta_{ij}</math> is the [[Kronecker delta]], and I is the identity matrix.7 KB (1,096 words) - 05:49, 17 October 2013
- ...als the tensor is a real number σ<sub>0</sub> times a 3×3 [[identity matrix]]. The scalar σ<sub>0</sub> is the [[conductivity coefficient]] and1 KB (225 words) - 02:06, 24 October 2009
- ...'×2''n'' matrix ''J'' that has 2×2 block structure and Id (the identity matrix) in the lower left block, -Id in the upper right block, and 0 in the rest.12 KB (1,918 words) - 20:29, 22 December 2011
- ...3×3 [[matrix]] obeying '''A'''<sup>T</sup>'''A''' = '''E''' (the [[identity matrix]]), then rotation of the coordinate axes by '''A''' gives5 KB (928 words) - 04:59, 9 December 2009
- ...mp; '''t''' then the modified Eq. (1) gives a rotation matrix close to the identity matrix, which is to be expected and not very useful. ...basically due to the fact that the two vectors are connected by minus the identity matrix, '''which is not a rotation matrix'''. If we want to rotate '''f''' to '''8 KB (1,349 words) - 22:27, 9 April 2009
- where <math>\mathbf{E}\,</math> is the [[identity matrix]].13 KB (1,996 words) - 10:52, 3 November 2021
- ...and ''a fortiori'' linearly independent, the matrix '''S''' becomes the [[identity matrix]]. Such a matrix has unit determinant. In that case ''K'' = (N!)<sup>1/2</s15 KB (2,353 words) - 17:42, 9 December 2008
- where '''E''' is the 3×3 [[identity matrix]].22 KB (3,624 words) - 01:45, 26 October 2013
- Hi Richard, I'm glad to see that you accepted my opinion that unit matrix and identity matrix are synonyms. At WP I had to fight to have "unit matrix" renamed to "matrix12 KB (1,776 words) - 11:00, 7 March 2024
- ...i.e., to "track") the desired output <math>y_k^d</math>. If ''C'' is the [[identity matrix]] and <math>y_k^d=x_k^d \in \mathbb{R}^n</math> then the tracking problem c13 KB (2,418 words) - 05:46, 17 October 2013
- is in general not (a constant times) the [[identity matrix]], the two vectors, '''L''' and '''ω''', are in general not parallel, ...n of a position vector with respect to time, followed by insertion of the identity matrix gives,23 KB (3,890 words) - 10:45, 11 June 2009
- Obviously, the identity matrix35 KB (5,836 words) - 08:40, 15 March 2021
- The Cartesian metric tensor is the [[identity matrix]] and hence in Cartesian coordinates, ...e [[orthogonal matrix|orthogonal]] (matrix times its transpose gives the [[identity matrix]]), so that27 KB (4,267 words) - 10:14, 8 April 2023
- If the AOs were orthonormal, '''S''' would be the [[identity matrix]]. '''S''' contains overlap integrals, which are of the form20 KB (3,082 words) - 17:39, 9 December 2008
- where the last matrix on the right is the [[identity matrix]] '''I'''. Now23 KB (3,849 words) - 06:03, 29 August 2013