Thanks for the confirmation of my supposition that he was a bullied loner.  Madman?  Guess it depends on your definition,  While he might not fit the legal definition; i.e., incapable of distinguishing right from wrong, I would submit that anyone who commits mass murder is a madman.  As to arbitrary target.....I am aware that he targeted Muslims knowingly.  But there is no reason to hate Muslims or any other identifiable group, since they are composed of individuals, some worthy, some not.  This is why I maintain that Xenophobes in general choose targets arbitrarily.  

Alexandre could just as easily have gone after women, blacks, homosexuals, or white Christian men, for that matter.  His particular illness pointed him toward Muslims......for arbitrary reasons, since his hatred was in no way based in fact.