Interpreting rank and nullity from the transformation matrix — IITM BS previous year questions

Interpreting rank and nullity from the transformation matrix is part of Kernel-Image Examples and Rank-Nullity, Week 6 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.