Linear Algebra Lecture Notes
by Ling-Hsiao Lyu / lyu@jupiter.ss.ncu.edu.tw


Citation: Lyu, L. H. (2012), Linear Algebra Lecture Notes,
http://www.ss.ncu.edu.tw/~lyu/lecture_files_en/lyu_LA_Notes/lyu_LA_Content.html


Table of Contents


Lecture 1. Introduction to Linear Algebra and Matrix Operations (in Strang (2005), Chapters 1 & 2 & in Leon(2010), Chapter 1 & Session 7.2)


Lecture 2. General Solution of Ax=b_and Vector Space (in Strang (2005), Chapter 3 & in Leon(2010), Chapters 1 & 3)

Additional Lecture Notes for Lectures 2 and 3 (total 10 pages)


Lecture 3. Projection and Projection Matrix (in Strang (2005), Chapter 4 & in Leon(2010), Chapter 5)


Lecture 4. Least Squares Fit (LSF):_Approximate Solution of Ax=b (in Strang (2005), Chapter 4 & in Leon(2010), Chapter 5)


Lecture 5. Determinant (in Strang (2005), Chapter 5 & in Leon(2010), Chapter 2)


Lecture 6. Change of Basis (in Strang (2005), Section 7.3 & in Leon(2010), Chapter 3)

Understand the physical meaning of the eigen vectors (or, the principle axis) of an anisotropic rotational inertia (ʺDq, or moment of inertia), I.
YouTube - Rotating Solid Bodies in Microgravity

YouTube - Richard Garriott Space Video Blog: Rotational Inertia

YouTube - Richard Garriott Space Video Blog: Gyroscopes

YouTube - Moment of Inertia Explained

Lecture 7. Eigenvalues and Eigenvectors (in Strang (2005), Chapter 6 & in Leon(2010), Chapter 6)

7a. Eigenvalue and Eigenvector -- A Case Study
7b. Eigenvalue and Eigenvector -- A General Discussion
7c. Introduction to Positive Definite Matrices, Similar Matrices, Jorden Form, & Singular Value Decomposition (SVD)


Textbook:

Reference Books: