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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
- 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
- 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
- ...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
- ...''<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
- 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
- ...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
- where the last matrix on the right is the [[identity matrix]] '''I'''. Now23 KB (3,852 words) - 20:27, 9 January 2021
- where '''E'''<sub>''ℓ''</sub> is the 2''ℓ''+1 dimensional [[identity matrix]]. because '''R'''<sup>T</sup>'''R''' is equal to the 3 × 3 identity matrix.34 KB (5,282 words) - 14:21, 1 January 2011
- The last property is the analogy of the multiplication of two [[identity matrix|identity matrices]],14 KB (2,220 words) - 12:28, 26 October 2021
- 13 KB (1,900 words) - 10:49, 30 November 2009