Search results

Create the page "Linear Algebra Notes" on this wiki! See also the search results found.

• Dual vector space
  ...ine the '''dual''' or '''conjugate''' vector space<ref name="LAVEP">Linear Algebra via Exterior Products - Sergei Winitzki</ref> (which we denote {{M|V^*}}) a ...s the set of all [[Homomorphism|homomorphisms]] (specifically [[Linear map|linear ones]]) from {{M|V}} to {{M|F}})
  3 KB (614 words) - 05:35, 8 December 2016
• Projection
  : '''See also: ''' "[[Projector]]" (in Linear Algebra) a map such that {{M|1=P\circ P=P}} or [[Canonical projection]] (also known This page is being worked on (see [[Notes:Projection]] for now)
  445 B (65 words) - 21:57, 13 October 2015
• Homomorphism
  ** [[Homomorphism (vector space)]] - {{AKA}}: [[linear map]] - instance of a [[module homomorphism]] * [[Notes:Homomorphism]] - a notes-grade page that may provide some insight.
  4 KB (532 words) - 22:04, 19 October 2016
• Norm
  ...- Volume 1, by Dzung Minh Ha</ref>{{RRAAAHS}}<sup>{{Highlight|See warning notes:<ref group="Note">A lot of books, including the brilliant [[Books:Analysis ! Notes
  6 KB (1,026 words) - 20:33, 9 April 2017
• Index of notation
  ! Notes ! Notes
  9 KB (1,490 words) - 06:13, 1 January 2017
• Linear isometry
  ...norm <math>\|\cdot\|_U</math> and <math>\|\cdot\|_V</math> respectively, a linear isometry preserves [[Norm|norms]] It is a [[Linear map|linear map]] <math>L:U\rightarrow V</math> where <math>\forall x\in U</math> we ha
  1 KB (206 words) - 11:23, 12 May 2015
• Group
  ...group is Abelian we use additive. This is (probably) motivated from linear algebra. Addition of matrices is commutative, just like with numbers however multip ==Convention notes==
  7 KB (1,332 words) - 07:17, 16 October 2016
• Inner product
  ...er_product_space&oldid=651022885</ref><ref>Functional Analysis I - Lecture Notes - Richard Sharp - Sep 2014</ref><ref name="FA">Functional Analysis - George ...y,z\rangle = \lambda\langle y,z\rangle + \mu\langle x,z\rangle</math> ( [[Linear map|linearity in first argument]] )
  6 KB (1,016 words) - 12:57, 19 February 2016
• Addition of vector spaces
  ==Notes== * See [[Notes:Vector space operations]]
  4 KB (804 words) - 18:02, 18 March 2016
• Kernel
  Given a [[Linear map|linear map]] {{M|T\in\mathcal{L}(V,W)}} where {{M|V}} and {{M|W}} are [[Vector spa * <math>\text{Ker}(T)=\{v\in V|Tv=0\}</math><ref>Advanced Linear Algebra - Steven Roman - Third Edition - Springer GTM</ref> using the notation <mat
  2 KB (376 words) - 19:53, 10 May 2015
• Notes:Vector space operations
  This page is a notes page for evidence of operations on [[Vector space|vector spaces]] - that is ==Serge Lang - Linear Algebra - UTM==
  3 KB (489 words) - 20:27, 1 June 2015
• Tensor product of vector spaces
  : {{strike|Currently in the notes stage, see [[Notes:Tensor product]]}} ==Notes==
  2 KB (377 words) - 21:33, 22 December 2016
• Covector applied to a tensor product
  ...k_{i=1}v_i\otimes w_i)=\sum^k_{i=1}f^*(v_i)w_i</m><ref name="LAVEP">Linear Algebra via Exterior Products - Sergei Winitzki</ref> Claim: This is a linear map
  1 KB (223 words) - 11:26, 12 June 2015
• Isometry
  ! [[Linear isometry]] | For a [[Linear map|lin map]] {{M|L:U\rightarrow V}}<br/> we have {{M|1=\Vert Lx\Vert_V=\Ve
  1 KB (212 words) - 13:13, 9 July 2015
• Linear independence
  {{Todo|Find reference, I didn't bring any undergraduate Lin. Algebra books with me}} ==Notes==
  3 KB (605 words) - 21:11, 2 November 2015
• Quotient vector space
  ==To-do notes== ==Notes==
  5 KB (879 words) - 23:09, 1 December 2016
• Equivalent conditions for a linear map between two normed spaces to be continuous everywhere
  ...aces]] {{M|(X,\Vert\cdot\Vert_X)}} and {{M|(Y,\Vert\cdot\Vert_Y)}} and a [[linear map]] {{M|L:X\rightarrow Y}} between them, then the following are equivalen # {{M|L}} is a [[bounded linear map]], that is {{M|\exists A>0\ \forall x\in X[\Vert L(x)\Vert_Y\le A\Vert
  3 KB (491 words) - 01:35, 28 February 2016
• N-plane
  ..._0,\ldots,a_N\} }} we define the ''{{M|N}}-plane'', {{M|P}} [[span (linear algebra)|spanned]] by these points to be the set{{rEOATJRM}}: ==Notes for development of the page==
  1 KB (238 words) - 22:19, 4 May 2016
• Linear combination
  ...nd some more references and add some comments about why this is important (linear independence)}} ...be a [[vector space]] and let {{M|v_1,v_2,\ldots,v_n\in V}} be given. A ''linear combination'' of {{M|v_1,\ldots,v_n}}'' is any vector of the form{{rFAVIDMH
  1 KB (200 words) - 07:37, 29 July 2016
• Notes:Dual basis
  * Let {{M|1=E:=\{E_1,\ldots,E_n\} }} be any {{link|basis|linear algebra}} of {{M|V}}. ...ction|functions]], {{M|f:V\rightarrow\mathcal{K} }} which are [[linear map|linear maps]].
  5 KB (1,020 words) - 08:43, 12 August 2016