| Resource | Description | / |
|---|---|---|
| Textbook Required | Advanced Engineering Maths By R. K. Jain, S. R. K. Iyengar | / |
| Recommended Reading | Linear Algebra: A Modern Introduction by David Poole Elementary Linear Algebra – Howard Anton & Chris Rorres | / |
| Other Resources | Cue Math website, Internet search for practice. | / |
| Week | Topic | Chapter/ Pages |
| 1 | Introduction to Matrices • Matrices • Types of Matrices • Addition of Matrices • Subtraction of Matrices • Scalar Multiplication • Multiplication of 2 Matrices | 3.1 – 3.6 |
| 2 | Properties and Determinants • Properties of Multiplication • Traits and patterns in Matrices( Trace, Transpose) • Symmetric and Hermitian Matrices • Determinants of a Matrix • 2X2 and 3X3 Matrices • Properties of Determinants | 3.6 – 3.11 |
| 3-4 | Inverse of a Matrix and Transformations · Minor, Cofactors and Adjoint · Finding Inverse Directly · Row Operations · Applications of Row Operations Rank Inverse Solving Linear Equations | 3.12 – 3.20 & 3.53 – 3.61 |
| 5-6 | Vector Spaces · Vector Addition · Vector Subtraction · Their Properties · Subspaces · Linear Independence of Vectors · Dimensions and Basis · Linear Transformations | 3.21 – 3.46 |
| 7 | Back to Matrices · Normal Form – Column Transformation · PAQ Problem · Symmetric/ Skew Symmetric Questions · Orthogonal Matrix Verification Questions | 3.47 – 3.51 |
| 8-9 | Midterm Revision Sessions | 3 |
| 10 | Eigen Values · What are Eigen Values? · The Method of finding Eigen Values · Properties of EIgen Values · Exceptions and Tricks in Eigen Values | 3.62 – 3.70 |
| 11-12 | Eigen Vectors · what are Eigen Vectors? · Methodology of finding Eigen Vectors · Properties of EIgen Vectors | 3.62 – 3.70 |
| 13-14 | Applications of Eigen Values & Vectors • Cayley Hamilton Theorem • Diagonalisation • PAP • Canonical Form | 3.71 – 3.76 |
| 15 | Special Matrices · Orthogonal Matrices · Unitary Matrices · Their Eigen Values · Conclusion | 3.77 – 3.84 |
| 16-17 | Final Exam Revision Sessions | 3 |