- #1
alaa_137
- 5
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Hey guys
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
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