Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.
No pronunciation record was provided for this word.
Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the identity matrix.
Definition source: English Wiktionary via Wiktextract
Topics: linear-algebra, mathematics, sciences
Examples
- Given the basis of some vector space V, how to find its dual basis, i.e., the basis of the dual space V#42;? Fill the columns of a square matrix M with the basis vectors of V. Find the inverse matrix M#123;-1#125; of M. Then the rows of M#123;-1#125; are the (co)vectors of that dual basis. Since (M#123;-1#125;)#123;-1#125;#61;M, then (V#42;)#42;#61;V.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
11 source translations are retained for this English entry.
-
Estonian:
pöördmaatriks
— linear algebra
-
Finnish:
käänteismatriisi
— linear algebra
-
French:
matrice inverse
— linear algebra
-
German:
inverse Matrix
— linear algebra
-
German:
Inverse
— linear algebra
-
German:
Kehrmatrix
— linear algebra
-
Japanese:
逆行列
(gyaku-gyōretsu)
— linear algebra
-
Portuguese:
matriz inversa
— linear algebra
-
Russian:
обра́тная ма́трица
(obrátnaja mátrica)
— linear algebra
-
Spanish:
matriz inversa
— linear algebra
-
Swedish:
invers matris
— linear algebra
