ESE · 2026 Engineering › Engineering Mathematics & GeneralConsider the following statements regarding cancellation laws : Let A, B, C be n×n matrices, then 1. if rank A = n and AB = AC, then B = C. 2. if rank A = n, then AB = 0 implies B = 0. Hence if AB = 0, but A ≠ 0 as well as B ≠ 0, then rank A < n and rank B < n. Which of the above statements is/are correct ?
🔎 The pattern behind this question
This is the same idea UPSC keeps returning to. Start a free trial to see the answer and the full map.
Across examsESE 3
Evolution“Linear Algebra” tested across 2 years (2025–2026)
Study how UPSC repeats — not just the papers
₹199 / 1 year · Founding Member
Full access unlocks the three things no PYQ PDF gives you:
① Cross-exam learning — see the same idea recur across CSE, CAPF, CDS and NDA.
② Topic evolution — how each idea is framed, year by year.
③ Question intelligence — every PYQ + answer, linked to related concepts and similar questions.
e.g. Round Table Conference: CDS 2017 → CSE 2017 → … → CAPF 2024
15 days free, no card required — then ₹199 for 1 year.
Start your 15-day free trial →