If B and C are invertible then prove rank(BA)=rank(AC)=rank(A).

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- October 6th 2009, 09:15 AMhayter221rank proof
If B and C are invertible then prove rank(BA)=rank(AC)=rank(A).

- October 6th 2009, 10:33 AMtonio
- October 6th 2009, 10:59 AMaman_cc
Hi -Based on this post, I was trying to look if there is generic rule for finding rank(AB) based on rank(A) and rank(B). I was trying to work that out but not going anywhere.

All I could find was rank(AB)=< Min[rank(A),rank(B)]

Can we say more? - October 6th 2009, 04:04 PMhayter221
hey tonio, can you rephrase your response solely in terms of matrices, or would the statement be the same?

- October 6th 2009, 04:46 PMtonio