Question: Convert the following nfa to an equivalent dfa ( draw a state diagram for your answer ) . Show and explain / justify your answer

Convert the following nfa to an equivalent dfa (draw a state diagram for your answer). Show and explain/justify your answer and all the steps used to derive the dfa. ={a,b}.
1. Mnfa=({q0,q1,q2},{a,b},\delta ,q0,{q2}) with the following transitions:
(q0,a)={q0,q1}
(q1,b)={q1}
(q1,\lambda )={q2}
(q2,a)={q0,q2}

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