how to check valid email Address in Apex Salesforce

String emailRegex = '([a-zA-Z0-9_\\-\\.]+)@((\\[a-z]{1,3}\\.[a-z]{1,3}\\.[a-z]{1,3}\\.)|(([a-zA-Z0-9\\-]+\\.)+))([a-zA-Z]{2,4}|[0-9]{1,3})';
Pattern MyPattern = Pattern.compile(emailRegex);

// Then instantiate a new Matcher object "MyMatcher"
String InputString ='abc@xyzzzz.com';
Matcher MyMatcher = MyPattern.matcher(InputString);

if (!MyMatcher.matches()) {
// invalid, do something
   System.debug('Invalid Email Addresss');
}
else
{
      System.debug('Valid Email Addresss');
}