Computing dimension from the number of independent parameters — IITM BS previous year questions

Computing dimension from the number of independent parameters is part of Rank and Dimension Using Gaussian Elimination, Week 4 in Mathematics 2. Prasnya files every IIT Madras BS previous year question from this subtopic here, each one with a worked explanation. Take the whole set as a timed mock and you get accuracy, pacing and per-question analysis back.