exactly. Because of Boromir's 'last words' to aragorn, He did indeed now have somthing to fulfill. And I think Boromir's Words stayed in the back of his mind for sometime, even to the end, The promise Aragorn made, drove him, to do his great deeds, or at least was a great factor in his path to kingship.
yes, because she knew the day would come, when her husband would die, and when he did, I think that she figured she didn't have anything anymore, There was nothing for her, wich makes it to me, one of the most emotionally moving deaths of the trilogy(with the exception of Boromir)
Yes a man's death, can win great renown for all the deeds he's done rather in battle, or his accomplishments...ect(e.g. reagon, Theoden,)but women are rarly mentioned, And to me a women's passing is so deeply wrought with emotianal values, clearly defined by her dedicated Love to her Loved ones...Knowing that, It is clear to me, that a women's Life, (like arwen's)is most def worthy of rememberance, but is sadly, not remembered, and is forgotten, in the works and deeds of Men. And the History books, and Newspapers, and all kinds of media, and publicity, and Paparzi is Not needed for me. Because the greatest women I knew, My Grandma, died with so many accomplishments, and feats, her love to me, and my relatives, her wise sayings she told me, her cookies I will never taste again, are more than enough for ME to remember, and thats all that maters for me...cause I'll never forget her...
OK i'm getting to personal...
It depends on the person, and who it is,(imo) that decides who's death, is more sorrowfull, and their relationship to you. Not their age, race, or gender, although those ARE alot of times important factors for a LOT of people.