Bhagavad-Gita: Chapter 11, Verse 33

Rudra Vaisnava Sampradaya:

Visnuswami

Sridhara Swami's Commentary

Lord Krishna reiterates that it is His will that the Kauravas are to perish and that Arjuna should arise for battle and attain fame by conquering Bhishma, Drona and Karna who are unable to be conquered even by the demigods. The Kauravas and their army have already been slain before the battle has even commenced by the desire of Lord Krishna through His potency known as kala or all consuming time and He informs Arjuna that he is nimitta-matram or merely the instrument, for accomplishing this. Lord Krishna addresses Arjuna as savyasacin meaning skilful with the left hand because being ambidextrous he is able to shoot arrows equally with his left hand as well as with his right hand.

Brahma Vaisnava Sampradaya:

Madhvacarya
There is no commentary for this verse.

Sri Vaisnava Sampradaya:

Ramanuja

Ramanuja's Commentary

Lord Krishna is instructing Arjuna to arise from his lethargy of mind and fight for righteousness. By vanquishing the Kauravas he will acquire lasting glory and enjoy the prospering kingdom of Earth which will be rightfully administered and protected by the Pandavas. Lord Krishna alone by Himself has already determined the course of the battle and the destruction of all the unrighteous. In this work Arjuna is merely an instrument and must only accept the role of conqueror as an implement of war. Arjuna is addressed as savya-sacin or expert archer from the root shach meaning equal. This was because he was ambidextrous and could fix an arrow to a bow shooting it equally with left or right hand.

Kumara Vaisnava Sampradaya:

Nimbaditya

Kesava Kasmiri's Commentary

The Supreme Lord Krishna is the absolute and independent controller of all creation, Every living being depends solely upon Him for their existence and maintenance. He is also the absolute and independent destroyer and He confirms that all the warriors of the battle are nihatam-purvam meaning already slain by His mere desire. Therefore as Lord Krishna is the actual destroyer Arjuna should arise and defeat his enemies and win glory in the form of slaying Bhishma, Drona, Karna etc. who were invincible even to the demigods. Vanquishing his mighty foes he and his brothers can abundantly enjoy the flourishing kingdom of Earth. All the Kaurava warriors Arjuna will be fighting are already slain before he fights with them by Lord Krishna and Arjuna should merely as a conduit be the Supreme Lord's implement for slaying them. The vocative savya-sacin meaning expert archer reveals that Arjuna is ambidextrous and able to discharge arrows with either hand.