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Classroom Scribble for EE1030/EE2100: Matrix Theory (Fall 2026)
The scribble is intended for quick reference and review only. They are by no means a complete source of the material and are based on the suggested textbooks/references. Students are strongly encouraged to also consult the suggested textbooks/references directly.
| Lec. (Date) | Topics Covered | Scribble |
| 01 (27/07) | Introduction to Vectors and Elementary Operations | Link |
| 02 (28/07) | Elementary Vector Operations, Linear Combinations and Multilinear Functions | Link |
| 03 (31/07) | Examples and Inner Product | Link |
| 04 (03/08) | Inner Product and Norm | Link |
| 05 (04/08) | Cauchy-Schwarz Inequality and Projection | Link |
| 06 (07/08) | Group and Abelian Group | Link |
| 07 (10/08) | Review, Rings and Fields | Link |
| 08 (11/08) | Fields and Vector Space | Link |
| 09 (14/08) | Subspace of a Vector Space | Link |
| 10 (17/08) | Span and Linear Independence | Link |
| 11 (18/08) | Spanning Set and Basis | Link |
| 12 (21/08) | Basis | Link |
| 13 (24/08) | Orthogonal Basis and Discrete Fourier Transform | Link |
| 14 (25/08) | Generation of Orthogonal Basis | Link |
| 15 (31/08) | Projection onto Subspace | Link |
| 16 (01/09) | Orthogonal Complement of a Subspace | Link |
| 17 (04/09) | K-Means Clustering | Link |
| 18 (07/09) | Introduction to Matrices | Link |
| 19 (08/09) | Elementary Matrix Operations | Link |
| 20 (11/09) | Matrix Multiplication | Link |
| 21 (15/09) | Adjoint of a Matrix and its Transpose | Link |
| 22 (18/09) | Linear Transformation and Transformation Matrices | Link |
| 23 (21/09) | The Fundamental Subspaces of a Matrix | Link |
| 24 (22/09) | Solving Systems of Linear Equations | Link |
| 25 (28/09) | Elementary Row Operations | Link |
| 26 (29/09) | Elementary Row Operations and LU Decomposition | Link
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