Rank of a Matrix | Echelon Form Method (Part 3) | Complete Solved Examples| B.Sc/B.Tech Maths | MWSB

📘 MATHS WITH SANDEEP BHATT (MWSB) Powered by Om Science Classes, Ranchi (Jharkhand) 🎓 COURSE: B.Sc. Mathematics (Honours) | B.Tech Engineering Mathematics Chapter: Rank of a Matrix Topic (Part 3): Finding Rank by Echelon Form (Row Reduction Method) ───────────────────────────────────────── 📖 ABOUT THIS LECTURE In this lecture, we learn how to find the Rank of a Matrix by reducing it to Echelon Form using Elementary Row Operations. This method is the most powerful and widely used in higher mathematics, engineering mathematics, linear algebra, and competitive exams. Key highlights: ✔ What is Echelon Form? ✔ What is Reduced Echelon Form? ✔ Working Rule (Step-by-step Row Operations) ✔ How to compute rank using non-zero rows ✔ 100% exam-oriented solved examples This lecture is useful for all: • B.Sc. Mathematics Honours • B.Tech Engineering Mathematics • Polytechnic / JUT / RU Students • NEP FYUGP Students (All Universities) ───────────────────────────────────────── 🧠 TOPICS COVERED 1️⃣ Definition of Echelon Form 2️⃣ Definition of Reduced Echelon Form 3️⃣ Working Rule using Elementary Row Operations 4️⃣ Shortcut to identify Rank 5️⃣ Example 1 – Rank of a 3×4 Matrix 6️⃣ Example 2 – Rank of a 4×4 Matrix 7️⃣ Concept explanation in simple teacher-style steps ───────────────────────────────────────── 🏛️ UNIVERSITY DETAILS Ranchi University | Jharkhand University of Technology (JUT) As per NEP–FYUGP Curriculum 2024–25 ───────────────────────────────────────── 👨‍🏫 INSTRUCTOR Sandeep Bhatt Sir (Mathematics Educator | Founder – Om Science Classes) 📍 Ranchi, Jharkhand 📞 Contact: 7903262149 ───────────────────────────────────────── 🔗 FOLLOW & CONNECT 📺 YouTube: Maths With Sandeep Bhatt 📘 Instagram: @omscienceclasses 📗 Facebook: Om Science Classes Ranchi ───────────────────────────────────────── 🔍 SEARCH TAGS (SEO) Rank of Matrix, Echelon Form Method, Row Reduction Method, Elementary Row Operations, Engineering Mathematics, B.Sc Mathematics Sem III, JUT Maths, Ranchi University Maths, Linear Algebra Rank, MWSB, Maths With Sandeep Bhatt, Om Science Classes, ───────────────────────────────────────── #MathsWithSandeepBhatt #MWSB #RankOfMatrix #EchelonForm #RowReduction #EngineeringMathematics #BScMaths #RanchiUniversity #JharkhandUniversityOfTechnology