Linear Algebra

Overview

Course time: 15:10-17:00, Tuesday and 14:10-15:00 Wednesday.
TA: Yu-Cheng Lu (Room E814)
Location: E401 (Tuesday) and E305 (Wednesday) at Main Engineering Building, Tamkang University.

Textbooks and other reference material

Elementary Linear Algebra - Applications Version. 12th Edition. Howard Anton, Chris Rorres, Anton Kaul. 2019.
Linear Algebra, 4th Edition. Stephen H. Friedberg, Arnold J. Insel, and Lawrence E. Spence.
Linear Algebra Done Right. Third Edition. Sheldon Axler, 2015.
Slides No. 2–6 in the Mathematics for Machine Learning course page.
3Blue1Brown.

Grading policy

Attendance (5%)
Assignments (35%)
Midterm (30%)
Final Exam (30%)

Lecture Notes

Lecture 00: Course Introduction
Lecture 01: Example of Vectorization
Lecture 02: Preliminaries
Lecture 03: Systems of Linear Equations
Lecture 04: Matrix & Matrix Operations
Lecture 05: Inverses
Lecture 06: Elementary Matrices & More on Linear Systems
Lecture 07: Invertibility of Symmetric Matrices
Lecture 08: Matrix Transformations
Lecture 09: Determinants
Lecture 10: Cramers' Rule
Lecture 11: Norms & Inner Products
Lecture 12: (General) Vector Spaces & Spanning Sets
Lecture 13: Linearly Independence & Remarks on Spanning Sets
Lecture 14: Basis & Change of Basis
Lecture 15: Fundamental Spaces of a Matrix & The Dimension Theorem
Lecture 16: Eigenvalues, Eigenvectors, & Diagonalization

Assignments

Assignment 1 (due date: 15 March 2024) [pdf]
Assignment 2 (due date: 29 March 2024) [pdf]
Assignment 3 (due date: 23 April 2024) [pdf]
Assignment 4 (due date: 1 May 2024) [pdf]

Exams

Quize 01 [pdf]
Midterm Exam [pdf]
Quize 02 [pdf]
Final Exam [pdf]

Any question is welcome.
Please contact Joseph, Chuang-Chieh Lin (Email to: josephcclin_AT_gmail_com)