Draw the state diagram - transition function, Mathematics

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1. Let M be the PDA with states Q = {q0, q1, and q2}, final states F = {q1, q2} and transition function

δ(q0, a, λ) = {[q0, A]}

δ(q0, λ , λ) = {[q1, λ]}

δ(q0, b, A) = {[q2, λ ]}

δ(q1, λ , A) = {[q1, λ ]}

δ(q2, b, A) = {[q2, λ ]}

δ(q2, λ , A) = {[q2, λ ]}

(a) Draw the state diagram for M.

(b) Using set notation, describe the language accepted by M.

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