@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-NSQVH5GT-C
  skos:prefLabel "general linear group"@en, "groupe général linéaire"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-P4VMDJPB-V
  skos:prefLabel "espace fonctionnel"@fr, "function space"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-XJ0VCV8T-1
  skos:prefLabel "spineur"@fr, "spinor"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr: a skos:ConceptScheme .
psr:-R682HVCB-5
  skos:prefLabel "Schur's theorem"@en, "théorème de Schur"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-KSXWNH06-H
  skos:prefLabel "matrix"@en, "matrice"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-VVTJ8P47-K
  skos:prefLabel "application linéaire"@fr, "linear map"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-TV5S9R6P-C
  skos:prefLabel "théorie spectrale"@fr, "spectral theory"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-M7XT8VBQ-Z
  skos:prefLabel "linear combination"@en, "combinaison linéaire"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-V07JPD63-S
  skos:prefLabel "abstract index notation"@en, "notation en indice abstrait"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-S09H1767-J
  skos:prefLabel "Cramer's rule"@en, "règle de Cramer"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-VWRDKWNG-6
  skos:prefLabel "espace dual"@fr, "dual space"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-LP2M5CFX-8
  skos:prefLabel "théorème de l'axe principal"@fr, "principal axis theorem"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-BH118TQV-Z
  skos:prefLabel "convention de sommation d'Einstein"@fr, "Einstein summation convention"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-BX545GQ6-L
  skos:prefLabel "rang"@fr, "rank"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-W0JJX1W8-X
  skos:prefLabel "vector space"@en, "espace vectoriel"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-H6W8S3F5-M
  skos:prefLabel "change of basis"@en, "changement de base"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-VF81RL6D-P
  skos:prefLabel "algèbre"@fr, "algebra"@en ;
  a skos:Concept ;
  skos:narrower psr:-KW813PNX-4 .

psr:-KW813PNX-4
  skos:narrower psr:-W0JJX1W8-X, psr:-BX545GQ6-L, psr:-VVTJ8P47-K, psr:-XJ0VCV8T-1, psr:-TV5S9R6P-C, psr:-NSQVH5GT-C, psr:-R682HVCB-5, psr:-LP2M5CFX-8, psr:-VWRDKWNG-6, psr:-KSXWNH06-H, psr:-H6W8S3F5-M, psr:-M7XT8VBQ-Z, psr:-QKZ5BMSC-F, psr:-BH118TQV-Z, psr:-S09H1767-J, psr:-P4VMDJPB-V, psr:-V07JPD63-S, psr:-DP82M6RV-J ;
  skos:definition """L’algèbre linéaire est la branche des mathématiques qui s'intéresse aux espaces vectoriels et aux transformations linéaires, formalisation générale des théories des systèmes d'équations linéaires. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Alg%C3%A8bre_lin%C3%A9aire">https://fr.wikipedia.org/wiki/Alg%C3%A8bre_lin%C3%A9aire</a>)"""@fr, """<b>Linear algebra</b> is the branch of mathematics concerning linear equations such as: 
<br/>
<br/><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle a_{1}x_{1}+\\\\cdots +a_{n}x_{n}=b,}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>+</mo>
<br/>        <mo>⋯<!-- ⋯ --></mo>
<br/>        <mo>+</mo>
<br/>        <msub>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>=</mo>
<br/>        <mi>b</mi>
<br/>        <mo>,</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle a_{1}x_{1}+\\\\cdots +a_{n}x_{n}=b,}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f4f0f2986d54c01f3bccf464d266dfac923c80f3" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:22.811ex; height:2.509ex;" alt="{\\\\displaystyle a_{1}x_{1}+\\\\cdots +a_{n}x_{n}=b,}"></span></dd></dl>
<br/>linear maps such as:
<br/>
<br/><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle (x_{1},\\\\ldots ,x_{n})\\\\mapsto a_{1}x_{1}+\\\\cdots +a_{n}x_{n},}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mo stretchy="false">(</mo>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>,</mo>
<br/>        <mo>…<!-- … --></mo>
<br/>        <mo>,</mo>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo stretchy="false">↦<!-- ↦ --></mo>
<br/>        <msub>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>+</mo>
<br/>        <mo>⋯<!-- ⋯ --></mo>
<br/>        <mo>+</mo>
<br/>        <msub>
<br/>          <mi>a</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <msub>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo>,</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle (x_{1},\\\\ldots ,x_{n})\\\\mapsto a_{1}x_{1}+\\\\cdots +a_{n}x_{n},}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/705c4efbe2eac03a9a36065cd900df1932f9f7d6" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:34.249ex; height:2.843ex;" alt="{\\\\displaystyle (x_{1},\\\\ldots ,x_{n})\\\\mapsto a_{1}x_{1}+\\\\cdots +a_{n}x_{n},}"></span></dd></dl>
<br/>and their representations in vector spaces and through matrices.
<br/> 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Linear_algebra">https://en.wikipedia.org/wiki/Linear_algebra</a>)"""@en ;
  dc:modified "2023-08-30"^^xsd:date ;
  skos:prefLabel "linear algebra"@en, "algèbre linéaire"@fr ;
  a skos:Concept ;
  skos:inScheme psr: ;
  skos:broader psr:-VF81RL6D-P ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Alg%C3%A8bre_lin%C3%A9aire>, <https://en.wikipedia.org/wiki/Linear_algebra> .

psr:-QKZ5BMSC-F
  skos:prefLabel "system of linear equations"@en, "système d'équations linéaires"@fr ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .

psr:-DP82M6RV-J
  skos:prefLabel "théorème des facteurs invariants"@fr, "structure theorem for finitely generated modules over a principal ideal domain"@en ;
  a skos:Concept ;
  skos:broader psr:-KW813PNX-4 .