Linear Algebra – Master Course

Start Date- 1st Sep 2026

Linear Algebra is not a subject of memorising formulas—it is about understanding the connection between vectors, matrices, linear transformations and the structure of vector spaces.

In this Master Course, SB Sir teaches every concept from the basic level and gradually develops it to the advanced, exam-oriented level. The focus is not only on completing the syllabus but on helping you understand:

• Why a theorem works

• When and how it should be applied

• How different concepts are connected

• How to approach unfamiliar and advanced-level problems

Major Topics Covered

• Systems of Linear Equations

• Matrices and Determinants

• Vector Spaces and Subspaces

• Linear Dependence and Independence

• Basis and Dimension

• Linear Transformations

• Rank and Nullity

• Eigenvalues and Eigenvectors

• Diagonalization

• Inner Product Spaces

• Orthogonality and Gram–Schmidt Process

• Minimal and Characteristic Polynomials

• Bilinear and Quadratic Forms

• Important Theorems and Their Applications

What Makes This Course Different?

✅ Complete concepts from Basics to Advanced
✅ Detailed explanation in SB Sir’s classroom style
✅ Strong focus on conceptual clarity
✅ Theorem-based problem-solving approach
✅ Carefully selected examples and practice questions
✅ Discussion of PYQs and important exam patterns
✅ Common mistakes and misconceptions explained
✅ Suitable for both learning and revision

This course is designed for students preparing for CSIR-NET, GATE, IIT-JAM, NBHM, TIFR and other Mathematics examinations.

If Linear Algebra feels like a collection of disconnected formulas, this course will help you see it as one beautifully connected subject.

Don’t just complete Linear Algebra—master it with SB Sir.

SB Sir | CSIR-NET AIR-11
SBTechMath Academy – Dare to Do Math