Is it permissible to recite the glorifications (Subhan Allah, Al-hamdulillah, La ilaha illa Allah, and Allahu Akbar) instead of Al-Fatiha in the last two rak'ahs of prayer?

The prayer is not valid without reciting Al-Fatihah in all rak'ahs, based on the Prophet's (peace be upon him) saying: "There is no prayer for one who does not recite the Opening of the Book," and his saying: "Whoever performs a prayer and does not recite the Mother of the Qur'an in it, then it is incomplete." The Prophet (peace be upon him) used to recite Al-Fatihah and another surah in the first two rak'ahs, and would only recite Al-Fatihah in the last two rak'ahs, and sometimes he would recite more than that, especially in the Dhuhr prayer. Whoever does not recite Al-Fatihah in the third and fourth rak'ahs must be taught that their action is wrong and that it is obligatory for them to recite it.