Handouts for EE1030/EE2100: Matrix Theory (Fall 2026)

These handouts are short, informal summaries of key topics covered in the course. Instead of detailed lecture-by-lecture notes, they group related concepts in a concise and accessible way. They are meant to support your learning, but not replace textbooks or standard references.

Please note: These notes may contain minor mistakes or typos. If you find any, feel free to let me know so I can fix them in future versions.

#	Concepts Covered	Handout
1	Introduction to Vectors and Elementary Operations on Vectors	Link
2	Linear and Multilinear Functions	Link
3	Inner Product, Norm and Cauchy-Schwarz inequality	Link
4	Angle between Vectors and Projection	Link
5	Vector Space and Subspace	Link
6	Span, Linear Independence and Basis	Link
7	Orthogonal Basis and Projection onto Subspace	Link
8	K-Means Clustering	Link
9	Introduction to Matrices	Link
10	Matrix Multiplication and Transpose	Link
11	Linear Transformation and Transformation Matrix	Link
12	Fundamental Subspaces of a Matrix	Link
13	Solution of System of Linear Equations	Link
14	Orthogonality of the Fundamental Subspaces and Rank-Nullity Theorem	Link
15	Overdetermined System of Linear Equations	Link
16	Trace and Determinant	Link
17	Eigenvalues and Eigenvectors	Link
18	Generalized Eigenvectors	Link
19	Spectral Theorem	Link
20	Quadratic Forms and Positive Definite Matrices	Link
21	Singular Value Decomposition	Link
22	Induced Norm of a Matrix	Link
23	Condition Number of a Matrix	Link