let A be mxn matrix and B be the transpose of A. let P=BA. prove that A and P have the same null space and the same rank.

please help.

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- January 9th 2009, 08:49 PMKat-Mnull space and rank
let A be mxn matrix and B be the transpose of A. let P=BA. prove that A and P have the same null space and the same rank.

please help. - January 10th 2009, 12:30 PMNonCommAlg
- January 10th 2009, 02:18 PMOpalg
- January 10th 2009, 02:33 PMNonCommAlg
- January 10th 2009, 02:43 PMKat-M
- January 10th 2009, 04:05 PMHallsofIvy
Then look at Opalg's response.