Lecture 15 | Rank of Matrix - Definition, Properties & Methods

👋 नमस्ते Students! स्वागत है आपका आज के इस महत्वपूर्ण Mathematics Lecture में! 🎓

About This Lecture: आज के इस वीडियो में हम Linear Algebra का एक बहुत ही Basic और Important topic "Rank of Matrix" विस्तार से पढ़ेंगे। यह टॉपिक आपके Exams के दृष्टिकोण से अत्यंत आवश्यक है।
✅ Rank of Matrix की परिभाषा (Definition)
✅ Minor method से Rank निकालना
✅ Normal Form का परिचय
✅ परीक्षा में पूछे जाने वाले महत्वपूर्ण सवाल (Solved Examples)
🔸 Note: यह पूरा Lecture सरल Hindi भाषा में विस्तार से समझाया गया है।

⏱️ TIMESTAMPS:
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🎯 यह Course किसके लिए है?
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🎯 CSIR NET Mathematical Sciences
🎯 GATE Mathematics / GATE Data Science
🎯 IIT JAM Mathematics
🎯 B.Sc./M.Sc. Mathematics students
🎯 Anyone learning Linear Algebra from scratch
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📈 Best Books for Linear Algebra (CSIR NET Unit 1 / GATE / IIT JAM) 📈

Here are my top 5 recommended books for mastering Linear Algebra, ranging from beginner concepts to advanced, proof-based theory:

1️⃣ Linear Algebra (4th Edition) by Stephen H. Friedberg, Arnold J. Insel & Lawrence E. Spence
🔹 Intermediate–Advanced | Standard Textbook for CSIR/GATE
🔗 Buy on Amazon: https://amzn.to/4mHVQMm

2️⃣ Linear Algebra (2nd Edition) by Kenneth M. Hoffman & Ray Kunze
🔹 Intermediate | Classic Theorem-Proof Style
🔗 Buy on Amazon: https://amzn.to/4vA4iky

3️⃣ Linear Algebra and Its Applications (5th Edition) by David C. Lay, Steven R. Lay & Judi J. McDonald
🔹 Beginner–Intermediate | Best for IIT JAM Foundation
🔗 Buy on Amazon: https://amzn.to/4mBWfjf

4️⃣ Linear Algebra Done Right (3rd Edition) by Sheldon Axler
🔹 Advanced | Conceptually Deep & Rigorous
🔗 Buy on Amazon: https://amzn.to/4dWaUDB

5️⃣ Linear Algebra Mathematics Book (CSIR NET Reference) by IFAS Publications
🔹 Exam Oriented | PYQ + Theory Practice
🔗 Buy on Amazon: https://amzn.to/4cuE76e

💡 Pro Tip: If you are preparing for IIT JAM, start with David C. Lay to build your intuition. For CSIR NET and GATE, Friedberg is the absolute gold standard you must study!

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Видео Lecture 15 | Rank of Matrix - Definition, Properties & Methods канала Fractal Frontier Maths