Important Questions on Eigen values & Eigen Vectors for CSIR NET DEC 2026

Important Questions on Eigen values & Eigen Vectors for CSIR NET DEC 2026 explained with clear concepts and exam-focused approach. This session covers eigenvalues, eigenvectors, Jordan Canonical Form, and minimal polynomial PYQs for CSIR NET Mathematics. Master similarity tricks, nilpotent operator rank, and matrix problem-solving with IFAS. 🔥Join India's Best Coaching for CSIR NET and GATE Exams: https://ifasonline.com/csir-net/mathe... 📞 Need Guidance? Call/WhatsApp: 9172266888 ━━━━━━━━━━━━━━━━━━━━━━━━━ ⏳ Lecture Timeline: [00:00:00] – Introduction: Eigen values & Eigen Vectors [00:00:24] – Question 1: Matrix Similarity P Q R [00:01:03] – Concept: Similarity & Jordan Form [00:03:02] – Important: Characteristic Polynomial Same [00:04:27] – Trick: Geometric Multiplicity from Rank [00:05:39] – Jordan Form: P Diagonalizable [00:06:04] – Jordan Form: Q Diagonalizable [00:07:41] – Jordan Form: R Non-Diagonalizable [00:09:08] – Conclusion: P Similar Q Only [00:11:03] – Question 2: Max Rank Nilpotent T [00:12:17] – Trick: Rank ≤ floor(dim/2) [00:14:02] – Question 3: Minimal Polynomial Cases [00:14:29] – Case: μ = x² + 1 [00:15:02] – Case: μ = x² + x (False) [00:16:03] – Case: μ = x² - x + 1 [00:17:36] – Case: μ = x² + x + 1 [00:19:35] – Complete Session: (Eigen values & Eigen Vectors) ━━━━━━━━━━━━━━━━━━━━━━━━━ 🎓 This lecture is highly beneficial for students preparing for: ✅ CSIR NET Mathematical Science ✅ GATE Mathematics ✅ SET Mathematics ✅ TIFR Mathematics ✅ PhD Entrance Exams ━━━━━━━━━━━━━━━━━━━━━━━━━ 🏆 Why IFAS is India’s No. 1 Choice for CSIR NET & GATE Mathematics? (Our Results Speak): ✅ CSIR NET Dec 2025: 4000+ Selections (AIR 3, 8, 9.....) ✅ CSIR NET June 2025: 4200+ Selections (AIR 1, 2, 6, 10...) ✅ CSIR NET Dec 2024: 4000+ Selections (AIR 5, 6, 7, 8, 9...) ✅ CSIR NET June 2024: 2000+ Selections (AIR 3, 10, 13...) ✅ CSIR NET Dec 2023: 1200+ Selections (AIR 2, 4, 5...) 📄 View IFAS Result Sheet: 👉 https://drive.google.com/file/d/1THh6... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 Important Links: 🌍 Visit our Website: https://ifasonline.com 📞 Contact for Queries: 9172266888 📘 Free Counselling: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 🔗 India's Best Online Classes and Books: 🔥CSIR NET Mathematical Science Live & Recorded Course: https://ifasonline.com/csir-net/mathe... 🎯 GATE Mathematics Recorded Course: https://ifasonline.com/gate/mathemati... 📘CSIR NET Mathematical Science Books: https://ifasonline.com/csir-net/mathe... ━━━━━━━━━━━━━━━━━━━━━━━━━ 📲 Download IFAS App: Android: https://play.google.com/store/apps/de... IOS: https://apps.apple.com/us/app/ifas/id... ━━━━━━━━━━━━━━━━━━━━━━━━━ Stay Updated Via Other Social Media: ✔Telegram: https://t.me/NET_GATE_SET_Maths_Discu... ✔Instagram:   / csir_net_mathematical_science   #eigenvalues #eigenvectors #csirnetmathematicalscience #gatemathematics #csirnetmaths #csirnetdec2026 #csirnetlecture #ifasmathematics