🚨Linear Algebra MAHA Revision LEC 02 | Most Important Question Discussion for CSIR NET DEC 2025 Exam

Welcome to the Maha Revision Series for CSIR NET Mathematics DEC 2025, your ultimate destination for last-phase, exam-focused preparation. This is Lecture 02 of Linear Algebra, a subject that carries significant weight in every CSIR NET paper and is crucial for JRF selection.

In this powerful session, we start our detailed revision with all the important PYQs (Previous Year Questions) and conceptual highlights that have repeatedly appeared in past exams. The lecture covers all the foundational and advanced areas of Linear Algebra that every serious aspirant must master.

📚 What You’ll Learn in This Lecture:

The concept of vector spaces, subspaces, and their structure

Linear dependence and independence with shortcut approaches

Finding basis and dimension in tricky problems

Linear transformations and their matrix representation

Understanding rank, nullity, and the rank-nullity theorem

Deep dive into eigenvalues, eigenvectors, and diagonalization

Concepts of Jordan Canonical Form

Concepts of Nilpotent Matrices

Theory and problem-solving related to inner product spaces and orthogonality


This session is ideal for students preparing for:
✅ CSIR NET Mathematics (DEC 2025)
✅ JRF Target Preparation
✅ GATE Mathematics
✅ IIT JAM Mathematics
✅ TIFR, NBHM, and other higher mathematics exams

The MAHA Revision series is carefully curated to help you revise vast concepts in a structured and exam-oriented way, using real exam problems, crisp explanations, and fast-solving techniques. Our focus is on conceptual clarity, exam relevance, and speed improvement.

Don’t just practice random problems — study what actually matters in the exam. Let’s build your confidence and help you secure your JRF dream.

🎓 Taught by Sudip Sir, founder of Pure Mathematical Academy (PMA), known for delivering high-quality CSIR NET Mathematics coaching with proven results.

📢 Don’t miss it – revise smart, and secure your rank!


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