Rank of matrix | linear algebra | Part 3

Описание: 📘 Rank of a Matrix Using Elementary Row Transformations | Full 4×4 Problem Solved | VTU Linear Algebra

In this video, we completely solve a 4 × 4 matrix using Elementary Row Transformations (ERTs) and systematically reduce it to Echelon Form.
This type of question is frequently asked in VTU, BSc, Diploma, and many university exams.
This explanation is simple, step-by-step, and perfect for scoring full marks.

📝 Question Solved in the Video
Find the Rank of the 4 × 4 Matrix using ERTs
Rows:
• 2, -1, -3, -1
• 1, 2, 3, -1
• 1, 0, 1, 1
• 0, 1, 1, -1

Learn how to:
✔ Perform Row Operations correctly
✔ Convert to Echelon Form
✔ Identify pivot positions
✔ Determine the Rank quickly and accurately
✔ Avoid mistakes students commonly make in exams

🎓 VTU NEP/CBCS Syllabus Mapping
This video is highly relevant for:
✔ 1BMATS101 – Calculus & Linear Algebra (Module 3)
✔ 1BMATE101 – Differential Calculus & Linear Algebra (Module 5)
✔ 1BMATM101 – Differential Calculus & Linear Algebra (Module 4)
✔ 1BMATC101 – Differential Calculus & Linear Algebra (Module 5)
Also useful for:
✔ BMATS101 / BMATE101 / BMATM101 / BMATC101 – Linear Algebra (Module 5)
✔ BSc, BCA, Diploma & Degree Students learning:
• Rank of a Matrix
• Row Echelon Form
• Elementary Row Transformations
• Basics of Linear Algebra
Perfect for:
✔ Last-minute exam prep
✔ Concept strengthening
✔ Internal & SEE revision
✔ Anyone learning matrices from scratch

🎯 Why Watch This Video?
• Clean and structured ERTs
• Beginner-friendly teaching
• Covers full 4×4 matrix reduction
• Exam-focused approach
• Clear explanation of pivot rows & rank


Rank of Matrix Masterclass | Linear Algebra Made Easy:    • Rank of Matrix Masterclass | Linear Algebr...  

▶️ Playlist Videos
1️⃣ Rank of matrix | Linear Algebra | Part 1
🔗    • Rank of matrix | linear algebra | Part 1  
2️⃣ Rank of matrix | Linear Algebra | Part 2
🔗    • Rank of matrix | linear algebra | Part 2  
3️⃣ Rank of matrix | Linear Algebra | Part 3
🔗    • Rank of matrix | linear algebra | Part 3  
4️⃣ Rank of matrix | Linear Algebra | Part 4
🔗    • Rank of matrix | linear algebra | Part 4  
5️⃣ Rank of matrix | Linear Algebra | Part 5
🔗    • Rank of matrix | linear algebra | Part 5  
6️⃣ Rank of matrix | Linear Algebra | Part 6
🔗    • Rank of matrix | linear algebra | Part 6  



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