Manuals/calci/ADJ

ADJ(Array)


  • is the set of values.

Description

  • This function shows the Adjoint of a given matrix.
  • In  ,  is the set of matrix values.
  • Adjoint of a matrix is called adjugate, classical adjoint, or adjunct.Adjoint of a matrix formed by taking the transpose of the cofactor matrix of a given original Square matrix.
  • Adjoint of matrix A is written by  .
  • The adjugate of A is the transpose of the cofactor matrix C of A,  .
  • Also adjoint of a matrix is defined by  .
  • The adjugate of 1x1 matrix is  .
  • The adjugate of 2x2 matrix  is  .
  • Consider3x3 matrix  .
  • Its adjugate is the transpose of its cofactor matrix: 

Examples

1.adj([[10,12],[-14,21]])

Spreadsheet
21 -12
14 10

2.adj([[4,5,8],[3,-6,-9],[10,-12,4]])

Spreadsheet
-132 -116 2.9999999999999982
-102 -64 60
24 98 -39

3.adj([[5,-2,2,7],[1,0,0,3], [-3,1,5,0], [3,-1,-9,4]])

Spreadsheet
-12 76 -60 -36
-56 207.99999999999997 -81.99999999999999 -57.99999999999999
4 3.999999999999999 -1.9999999999999998 -10
4 3.9999999999999982 20 12

See Also

References