The manduka karika, as a text, has four chapters. In the first chapter is included the original upanishat te upanishad karika. And on the upanisha and the karika we have the commentary of shankarachara in sanscrit it's called basam. We are not going to do a line by line study of the commentary though i will use the commentary all the time to when i'm giving explanations.
Swami Sarvapriyananda teaches one of the shortest and most profound upanishads accompanied by Gaudapada's Karika. This lecture covers Mantra 2.