Clarification: CT6-01 (Decision Theory) p. 10

Discussion in 'CT6' started by MissAussie, Jan 16, 2008.

  1. MissAussie

    MissAussie Member

    On p. 10 of the notes, we are told that:
    -----------
    The 2 x 2 matrix:

    2 -2
    -2 2

    has no saddle points.

    -----------

    Now my question is, don't all 2 x 2 matrices have NO saddle points? If this isn't true, then what is an example of a 2 x 2 matrix with a saddle point please?

    Thanks in advance :)
     
  2. shubhra

    shubhra Member

    If the 2 X 2 matrix is as shown below

    1 9

    7 8

    in that case it has a saddle point given by 7 , which is max in the column but lowest in the row.
    So i think it is possible to have a saddle point for 2X2 matrix.
    Thanx

    Have you understood the Bayes criterion....please let me know?
     
  3. MissAussie

    MissAussie Member

    thanks for that. I guess I didn't think a 2x2 matrix had a saddle point because saddle points seem to make most sense in a 3x3 matrix... a point which is the intersection of a minimum of one curve and a maximum of another curve. And you can't have a curve until you have at least 3 data points (ie. 3 x 3 matrix).

    still working on bayes criterion. for some reason i can't get past the first few chapters of this course!
     

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