Finding a spanning set for the image from transformed basis vectors — IITM BS previous year questions

Finding a spanning set for the image from transformed basis vectors is part of Image / Range of a Linear Transformation, 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.