wu :: forums - Print Page


    
      
        wu :: forums
        (http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi)
      

        general >> wanted >> Matrix Rank .. block matrices
        
(Message started by: MonicaMath on Aug 31^st, 2009, 3:31pm)

Title: Matrix Rank .. block matrices
Post by MonicaMath on Aug 31^st, 2009, 3:31pm

I'm trying to prove that:

given A (mXn) , B(pXn) two matrices, and if Ax=0 ==> Bx=0. show:
1) B=CA , for some matrix C, and when C will be invertible.
2) rank(A B)^T = rank(A), where T: transpose, and (A B) is a block (partition) matrix

thanks for helping in advance,,,, and please if you know a book which contains
these proofs just give me the name...