How do you think Ned would have reacted to Jaime’s explanation for killing Aerys? I feel that Ned would have understood the logic behind it given his penchant for preserving life. If this was the case, why did Jaime feel Ned would not listen? Or is just a case of Jaime being a self-absorbed teenager?

I still think Ned would have had some reservations – why didn’t Jaime do anything when it was his family, was it Jaime’s place to kill the King vs. arrest him, and so forth. 

But as to “why did Jaime feel Ned would not listen?” Jaime didn’t know Ned. Unless they met very briefly at Harrenhal, I doubt they’d ever met before. 

But yeah, for the most part it’s Jaime being a teenager.