java.util.regex.Pattern method matches() fails in this context

<%

   String stuff = "<c:import url=\"/common/lib\" context=\"common\" /
>";
   if (Pattern.matches("context=\"", stuff)) {
      out.println("the line has a match");
   } else {
      out.println("the line does not have a match");
   }

%>

The following bit of JSP appears to constantly fail no matter how many
times I run it.  I am simply looking for the pattern context=" and
replacing it with context="/  throughout an entire String value, but
my regular expression appears to be wrong.

Could someone help me figure out what the right expression would be?

Phil