Detecting dependence through free variables in a homogeneous system — IITM BS previous year questions

Detecting dependence through free variables in a homogeneous system is part of Linear Dependence, Week 3 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.