It should read COMPLIMENTARY ADMISSION FOR TEACHERS AND STUDENTS in other words it means that for teachers and students admission is free or "compliments of the house" as the saying goes. Complementary means on the contrary that the teachers and students complement or support each other.
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I think it is when a character dies. The author described it as "when you die"
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he wants people to realize he came from a not so great childhood but he made it through and it built his character
that's what I would say
sorry if I'm wrong