Let M be the PDA that accepts even-length palindromes over {a, b}. That is, L (M)= {wwR|WE {a, b}*} a) Give the PDA of M b) Give the transition table of M. c) Trace all computation of the strings ab, abb, abbbb in M. d) Show that aaaa, baab EL (M). e) Show that aaa, ab &L (M)