Linear Algebra for GATE Exam (original) (raw)

Last Updated : 23 Jul, 2025

Linear Algebra is an essential topic for the **GATE CSE (Graduate Aptitude Test in Engineering for Computer Science Engineering) exam, as it forms the foundation for various advanced concepts in computer science, especially in machine learning, data science, and algorithms.

This article is an organised guide to prepare for Linear Algebra for GATE CSE.

Matrices

• **Matrices
• **Operation on Matrices
• **Row Echelon Form
• **Rank of Matrix
• **Null Space and Nullity of a Matrix

Determinants

• **Determinant
• **Properties of Determinant

Other Topics

• **System of Linear Equations
• **Consistent and Inconsistent Systems
• **Eigenvalues and Eigenvectors
• **Matrix Diagonalization
• **L U Decomposition

Official Syllabus of Linear Algebra for GATE CSE

Below is the detailed syllabus for Linear Algebra, as outlined in the GATE CSE 2025 official notification:

• Matrices
• Determinants
• System of Linear Equations
• Eigenvalues and Eigenvectors
• LU decomposition

GATE CS/IT Subject-Wise Weightage

The subject-wise weightage for GATE CSE exam, based on the previous year patterns, is listed below:

**Recommended Books and Resources

• **Textbooks:
  • ****"Linear Algebra and Its Applications"** by Gilbert Strang – Comprehensive and concept-oriented.
  • ****"Higher Engineering Mathematics"** by B.S. Grewal – Useful for practicing problems.
• **GATE-Specific Books:
  • ****"GATE Chapter-Wise Solved Papers"** by Arihant Experts – Focus on Linear Algebra sections.
  • ****"Discrete Mathematics and Graph Theory"** by Satinder Bal Gupta – For understanding matrix-related concepts.
• **Online Resources:
  • **NPTEL courses on **Linear Algebra.
  • **MIT OpenCourseWare on **Linear Algebra.