Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Rank of adjugate matrix

  1. Aug 23, 2012 #1
    how that the rank of the adjugate matrix (r(adj(A))) is :

    n if r(A)=n

    1 if r(A)=n-1

    0 if r(A)<n-1

    How to deal with the proof? Can someone give more insight? What proof should I use here?

    I have an idea only for the third statement.
     
  2. jcsd
  3. Aug 23, 2012 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    What is [itex]A\cdot adj(A)[/itex]?? What are the implications on the rank?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Rank of adjugate matrix
  1. Adjugate matrix (Replies: 0)

  2. Rank of matrix (Replies: 2)

  3. Rank of a matrix (Replies: 3)

  4. Rank of a matrix (Replies: 1)

Loading...