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• Norm
  |For a [[Linear map|linear isomorphism]] <math>L:U\rightarrow V</math> where V is a normed vector spac {{Normed and Banach spaces navbox}}
  6 KB (1,026 words) - 20:33, 9 April 2017
• Inner product
  ...y,z\rangle = \lambda\langle y,z\rangle + \mu\langle x,z\rangle</math> ( [[Linear map|linearity in first argument]] ) Notice that <math>\langle\cdot,\cdot\rangle</math> is also linear (ish) in its second argument as:
  6 KB (1,016 words) - 12:57, 19 February 2016
• Abstract Algebra (subject)
  Abstract algebra is the study of [[function|functions]] (a [[relation#Types of relation|righ ...es}} pages) - all things on this wiki categorised as belonging to abstract algebra
  2 KB (328 words) - 10:53, 20 February 2016
• Linear Algebra (subject)
  ...via the [[arrow|arrows]] or [[homomorphism|homomorphism]] of) [[linear map|linear maps]], these are simply maps that preserve the structure of vector spaces. The linear algebra project contains:
  1 KB (150 words) - 15:09, 26 February 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
• Topological vector space
  {{Linear algebra navbox|plain}} {{Topology navbox|plain}}
  2 KB (383 words) - 14:03, 16 February 2017
• A linear map is injective if and only if the image of every non-zero vector is a non-zero vector
  ...spaces|{{M|L(U,V)}}]] (that is to say: let {{M|f:U\rightarrow V}} be any [[linear map]] between {{M|U}} and {{M|V}}). Then{{rFAGBaLN}}: ...ld also say "{{M|f:U\rightarrow V}} is injective {{iff}} the {{link|kernel|linear map}} is trivial"
  1 KB (211 words) - 21:29, 17 November 2016