“It was pleasant; the coffee had warmed me up...I think I dozed off.” This shows existentialist principles because he was at his mothers vigil but was only thinking of himself. So much so he actually fell asleep at her vigil because it wasn't something he wanted to.
“I even had the impression that the dead women lying in front them didn’t mean anything to them. But I think now it was a false impression.” As an existentialist death means nothing to him, it's normal and to be expected. That's why he referred to his mom as just a dead body there’s no attachment there.
“A minute later she asked me if i loved her.I told her it didn’t mean anything to me but i don't think so.” Yet again the story Meursault has trouble comprehending another's emotions. He doesn't care about love because to an existential it doesn’t matter they’re all about the self.
“But when i had given up on my studies I learned very quickly that none of it mattered.” This showcases existential free will because he made the choice not to continue studying something most people wouldn’t do or even think to have an option.
“I explained to him, however that nature was such that "-my physical needs often got in the way of feelings.” This is about Meursault meeting his lawyer for the first time he was asked about sleeping at his mother's funeral. It yet again showcases his selfishness due to his individual existentialism.
“He asked me if he could say that day I held back my natural feelings. I said “No, because it's not true.” This is existential free will because he is accepting the results of what he did. He feels no need to lie because existentialist believe in responsibility for one’s actions.