Tuesday, 2 May 2017

linear algebra - Conditions under which all the eigenvalues of any $n times n$ matrix are equal

I want to know conditions under which all the eigenvalues of any $n \times n$ matrix are equal. For $n=2$ it is easy to find such condition.
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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...