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I hope i'm in the right place...

I have this question i've been trying to solve for too long:

Let A be an nxn matrix, rankA=1 , and n>1 .

Prove that A is either nilpotent or diagonalizable.

My best attempt was:

if A is not diagonalizable then det(A)=0 then there is a k>0 such that A^k = 0 then A is nilpotent.

But I'm quite sure that's not good...

Anyone can help?

Thanks a lot

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# Homework Help: Nilpotent / Diagonalizable matrices

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