Could someone provide an example of an n x m matrix A, such that:

Rank(A)>Rank(A^2)>Rank(A^3)>...Rank(A^m)

Thanks

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- Oct 19th 2010, 04:37 AMschwannaMatrix Rank
Could someone provide an example of an n x m matrix A, such that:

Rank(A)>Rank(A^2)>Rank(A^3)>...Rank(A^m)

Thanks - Oct 19th 2010, 05:23 AMHallsofIvy
I assume you mean "n by n matrix" since A must be square in order to be multiplied by itself.

- Oct 19th 2010, 05:26 AMschwanna
Sorry, Yes