Top
Back: charpoly
Forward: det_B
FastBack:
FastForward:
Up: linalg_lib
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.3.2.9 adjoint

Procedure from library linalg.lib (see linalg_lib).

Usage:
adjoint(A); A = square matrix

Return:
adjoint matrix of A, i.e. Adj*A=det(A)*E

Note:
computation uses busadj(A)

Example:
 
LIB "linalg.lib";
ring r=0,(t,x),lp;
matrix A[2][2]=1,x2,x,x2+3x;
print(A);
==> 1,x2,  
==> x,x2+3x
matrix Adj[2][2]=adjoint(A);
print(Adj);                    //Adj*A=det(A)*E
==> x2+3x,-x2,
==> -x,   1   
print(Adj*A);
==> -x3+x2+3x,0,       
==> 0,        -x3+x2+3x


Top Back: charpoly Forward: det_B FastBack: FastForward: Up: linalg_lib Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4.4.0, 2024, generated by texi2html.