det(A^T), det(AB), and determinant of inverse when it exists — IITM BS previous year questions

det(A^T), det(AB), and determinant of inverse when it exists is part of Determinants - Computation and Properties, Week 1 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.