A short note on the Dirac equation and Problems for exercises are available from the web-page of the net.

In addition to  the problems in Problem 1 and Problem 2, do the following small exercises:

Given equations (16) and (17) in the "Dirac-note", show that eqs in (14) are satisfied and that these anticommutation relations implies that (13) follows from (11).

Prove also (22) and (23) (NB: Note comment between (7) and (8) )