Invariants under similarity: determinant, trace, rank, and characteristic behaviour — IITM BS previous year questions

Invariants under similarity: determinant, trace, rank, and characteristic behaviour is part of Similar Matrices, Week 7 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.