One can understand that the Supreme Being (Paramatma) is an antaryami (In Dweller) in the sentient (Chit) and the insentient (Achit). I have heard that there are differences of opinion on how Emperuman is in the state of antaryami between the Vadakalai and Tenkalai sects; Kindly explain how our elders/ancestors have handled the subject of antaryami Emperuman.

There is no difference of opinion between Vadakalai and Tenkalai traditions that Paramatma is an antaryami in both sentient and insentient beings. There is only a minor difference related to how Emperuman is present within a Jivatma. Jivatma is very small in size – it is in the dimensions of an atom. There is no such thing as the inside of Jivatma; given this, for the question of how Emperuman can be present inside such a Jivatma, our elders have provided answers – there is no part of Jivatma that is not associated with the Paramatma; there is no such thing as inside of Jivatma; Emperuman pervades the external portion; according to our elders, because there is no inside, it cannot be said that Paramatma is not present within a Jivatma.
Besides, Emperuman is present as an antaryami within all materials.