Sayyiduna Ibn Abbas (may Allah be pleased with them both) said: I used to attend Eid with the Prophet (peace and blessings of Allah be upon him), Abu Bakr, Umar, and Uthman (may Allah be pleased with them), and all of them would perform the prayer before the sermon on Eid.
Hadith Referenceسنن دارمي / من كتاب العيدين / 1643
Hadith Takhrijاس روایت کی سند صحیح اور حدیث متفق علیہ ہے۔ دیکھئے: [بخاري 962] ، [مسلم 884] ، [أبوداؤد 1147] ، [ابن ماجه 1273]
Brief Explanation
(Commentary on Hadiths 1640 to 1643)
From these hadiths, it is established that the sermon (khutbah) of the two Eids is after the prayer, and for the Eid prayers there is neither adhan nor iqamah (call to prayer).
There is a difference of opinion regarding the Eid prayer as to whether it is Sunnah or obligatory (wajib). Those who hold it to be obligatory have interpreted «﴿فَصَلِّلِرَبِّكَوَانْحَرْ﴾» as referring to the Eid prayer, for which there is a command, and a command indicates obligation.
Furthermore, from the aforementioned lengthy hadith, it is also established that women would go to the Eidgah (place of Eid prayer) for prayer, to the extent that even menstruating (hayd) women were instructed by the Prophet sallallahu alayhi wa sallam to go to the Eidgah so that at the very least they could participate in supplication (du'a). The detailed hadith will come ahead at number (1648).
Additionally, from this hadith it is established that it is permissible to speak to non-mahram (ajnabi) women and for women to listen to the speech of non-mahram men. It is also established that a woman may give charity (sadaqah, khayrat) without her husband's permission. (And Allah knows best).