Who was the intended audience for the Book of Matthew?

[See my other question first](https://christianity.stackexchange.com/questions/14769/in-what-language-was-the-book-of-matthew-written) . I have heard it taught in several places that Matthew was originally written in Hebrew and its intended audience was the Jew (which does help explain why it seems a bit more vague on key Christian concepts). But recently I have been told that there are no Hebrew manuscripts of this text. I assume at least that he meant there are no Hebrew manuscripts that out date the Greek ones. So this makes me wonder that if there are no Hebrew manuscripts of Matthew why would one argue this point? Essentially the question is then, who is the intended audience? *** Ultimately it's everybody, right, but I mean were a specific people in mind when it was written?