#1098 adjoint of a matrix

closed
nobody
5
2007-01-31
2007-01-31
Anonymous
No

There seems to be a funny definition of the adjoint of a matrix. The following input

adjoint(matrix([1,%i],[1,-%i]))

gives the apparently incorrect result ([-%i,-%i],[-1,1]).

By contrast, the command

transpose(conjugate(matrix([1,%i],[1,-%i])))

yields the correct answer ([1,1],[-%i,%i]).

I hope this could be fixed easily.

Thanks a lot,

Wolfgang

Discussion

  • Barton Willis

    Barton Willis - 2007-01-31
    • status: open --> closed
     
  • Barton Willis

    Barton Willis - 2007-01-31

    Logged In: YES
    user_id=895922
    Originator: NO

    See the user documentation for adjoint:

    The adjoint matrix is the transpose of the matrix of cofactors of M.

    Most U.S. undergraduate linear algebra texts use 'adjoint' to mean the
    transpose of the cofactors. I think this usage is old-fashioned, but it's
    standard. For the functional analysis adjoint, read ? ctranspose.

     

Log in to post a comment.