Is it possible to find a dfa that accepts the same language as the pda
$M= (${$q_0,q_1$},{$a,b$},{$z$},$\delta,q_0,z,${$q_1$}),
with
$\delta(q_0,a,z)=${$(q_1,z)$},
$\delta(q_0,b,z)=${$(q_0,z)$},
$\delta(q_1,a,z)=${$(q_1,z)$},
$\delta(q_1,b,z)=${$(q_0,z)$} ?