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   Matrix Rank .. block matrices
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   Author  Topic: Matrix Rank .. block matrices  (Read 2889 times)
MonicaMath
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Matrix Rank .. block matrices  
« on: Aug 31st, 2009, 3:31pm »
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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...
 
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