Hello friends, is there any rule by which if rank of a n*n matrix A is known then the rank of A^2 can be found????

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- Feb 20th 2013, 05:02 AMtejasnatuRank Of Matrix.
Hello friends, is there any rule by which if rank of a n*n matrix A is known then the rank of A^2 can be found????

- Feb 20th 2013, 05:32 AMHallsofIvyRe: Rank Of Matrix.
The only general relation (applying to all square matrices) is that the rank of $\displaystyle A^2$ is less than or equal to the rank of A.