Dictionary

inverse matrix en · NOUN

Meanings

1. Of a matrix A, another matrix B such that A multiplied by B and B multiplied by A both equal the identity matrix.
   • 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.

Forms

Synonyms

inverse

Translations (12)

sv invers matris (linear algebra) · ru обра́тная ма́трица (linear algebra) · fr matrice inverse (linear algebra) · de Inverse (linear algebra) · de Kehrmatrix (linear algebra) · az tərs matris (linear algebra) · de inverse Matrix (linear algebra) · et pöördmaatriks (linear algebra) · fi käänteismatriisi (linear algebra) · es matriz inversa (linear algebra) · ja 逆行列 (linear algebra) · pt matriz inversa (linear algebra)