Linear Algebra is a core subject in Mathematics for Computer Science, Information Technology, Engineering, and Science curricula. It plays a crucial role in GATE, UGC NET, and university semester examinations, forming the foundation for problem-solving and analytical thinking.
On this page, you will find structured learning resources for Linear Algebra, with clear explanations, worked examples, and exam-oriented revision material.
What Will You Learn?
On this page, you will find:
- Core Linear Algebra concepts explained step by step
- Problem-solving techniques with solved examples
- Exam-oriented explanations for competitive and university exams
- Practice problems and MCQ-based questions
- Detailed articles along with exam-ready revision PDFs
This Page Is For:
- Computer Science, IT, and Engineering students
- GATE, UGC NET, and other competitive exam aspirants
- University semester exam preparation
- Self-learners who want to understand, practice, and revise Linear Algebra
Topic Sections
Find Linear Algebra topics organized chapter-wise and concept-wise below.
(1) Introduction to Linear Algebra
(2) Systems of Linear Equations
- System Of Linear Equations
- Inconsistent Linear System
- Types Of Matrices
- Elementary Row Operations
- Row Echelon Form
- Gauss Elimination
- Homogenous System Of Linear Equations
(3) The Simplex Method
(4) Vector Spaces
(5) Linear Transformations
(6) Matrices
- Find Inverse Matrix
- Inverse Diagonal Matrix
- Inverse Of Triangular Matrices
- Matrix Operations
- Matrix Addition
- Matrix Subtraction
- Matrix Multiplication
- Matrix Transpose
- Trace Of Matrix
- Power Of Matrices
- Inverse Of Matrix
(7) Determinants
- Finding Determinant
- Introduction To Determinants
- Finding Matrix Of Minors
- Cofactors Of Matrix
- Adjoint Of Square Matrix
- Solving Systems of Linear Equations using Cramer’s Rule
(8) Subspaces and Spanning Sets
(9) Linear Independence
(10) Basis and Dimensions
(11) Eigenvalues and Eigenvectors
(12) Diagonalization
(13) Orthonormal Bases and Complements
(14) Diagonalizing Symmetric Matrices
(15) Kernel, Range, Nullity, Rank
(16) Least Squares and Singular Values
more topics coming soon …