Thanks sir for you valuable input. I have closed the issue 
<https://github.com/sympy/sympy/pull/10767> with addition of the property 
is_empty() as Moore pointed that it will be redundant. And now I agree on 
the point to return true for the nil potent matrix though it doesn't have 
an eigen value based on the argument provided that it is a zero matrix and 
a zero matrix will be nilpotent. 

Thank you, 
Aravind

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