Let $A\in M_{n}(C)$ and $A^{n}=2A$ with $n>1$. I need to show that $A$ is diagonalizable.
Is a complex matrix satisfying $A^n = 2A$ diagonalizable?
1
$\begingroup$
linear-algebra
-
4The title of your question seems misleading to me: the answer to the question asked in the title is clearly no, but in your question there is an additional hypothesis. – 2012-12-11
-
0What happens when you use the Jordan decomposition? – 2012-12-11