Optimizing and minimization of a Deterministic Finite Automata

[gratusri]

so this is the question , I have to minimize this DFA

this is How I did it

but when I checked for answers , this is what it was,

can someone please explain to me what mistake I made? I have been wondering about this for past 2 days

 

[pbuk]

can someone please explain to me what mistake I made?

No idea but your answer is not even a single DFA. The book answer is clearly correct and can be determined quickly by inspection*: are you sure you are expected to use an eigenvalue method to get to the answer?

*Note that there are no paths to q2 and q4 and q3 accepts so the path to q5 is irrelevant