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wu :: forums    general    wanted (Moderators: Icarus, william wu, ThudnBlunder, Eigenray, towr, SMQ, Grimbal)    Matrix Rank .. block matrices « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Matrix Rank .. block matrices  (Read 2891 times) MonicaMath Newbie     Gender: Posts: 43 Matrix Rank .. block matrices   « on: Aug 31st, 2009, 3:31pm » Quote Modify 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...   IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis => wanted   - psychology   - chinese « Previous topic | Next topic »

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