inverse of a square matrix

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-16.6

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https://metanorma.github.io/isq-smart/math/part-2-16/t2-16.6
urn:iso:std:iso:80000:-2:ed-2:en:item:2-16.6

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-16.6

IEC

urn:iec:std:iec:80000-2:2019:::item:2-16.6

Designations

ENinverse of a square matrix

FRinverse d'une matrice carrée

Symbol

A^{- 1}

Notation systems

AsciiMath

bb(ii(A))^(-1)

LaTeX

\mathbf{\mathit{A}}^{- 1}

Definition

inverse of a square matrix $A$

inverse d'une matrice carrée $A$

$A A^{- 1} = A^{- 1} A = I$

when $det A \neq 0$ , for the definition of $det A$ see determinant of matrix.

$A A^{- 1} = A^{- 1} A = I$

lorsque $det A \neq 0$ , pour la définition de $det A$ voir determinant of matrix.

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-16.6

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-16.6
skosxl:prefLabel	"inverse of a square matrix"@en
skosxl:altLabel	"bb(ii(A))^(-1)"@en
skos:definition	inverse of a square matrix stem:[bb(ii(A))]
skos:note	stem:[bb(ii(A)ii(A)^(-1))=bb(ii(A))^(-1)bb(A) = bb(I)] when stem:["det "bb(ii(A)) != 0], for the definition of stem:["d…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-16