inverse matrix

plural inverse matrices · plural inverse matrixes

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

   1 more example

   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.

   Synonyms: inverse