Linear Algebra

0、Information：

• Class Hours：48 classes.
• Primary Textbook: G. Strang,《Introduction to Linear Algebra》,Fourth Edition, Wellesley, Cambridge Press, 2009.
• Supplementary Textbook 1：G. Strang. 《Linear Algebra and Its Applications》. Fouth Edition, Thompson, 2006.
• Supplementary Textbook 2：Ron Larson. 《Elementary Linear Algebra》, 7th edition, Cengage Learning, 2013.
• 中文教材：《线性代数》同济大学版
• Syllabus：Chapter 1 -- Chapter 6；
• Video Lectures：MIT Online Course.
• Office：Room 416,The Sixth Building (South).
• Office Hours：Monday (14:30--16:30).
• MATLAB

1、Foreword to Linear Algebra

2、Chapter One:

Lecture 1: Vectors and Linear Combinations [download 下载]

Lecture 2: Lengths and Dot Products [download 下载]

Lecture 3: Matrices [download 下载]

3、Chapter Two:

Lecture 4: Vectors and Linear Equations [download 下载][Code 1][Code 2]

Lecture 5: Introduction to Elimination [download 下载]

Lecture 6: Elimination Using Matrices [download 下载]

Lecture 7: Rules for Matrix Operations [download 下载]

Lecture 8: Inverse Matrices [download 下载]

Lecture 9: Transposes and Permutations [download 下载]

4、Chapter Three:

Lecture 10: Spaces of Vectors [download 下载]

Lecture 11: The Nullspace of A: Solving Ax=0 [download 下载]

Lecture 12: The Rank [download 下载]

Lecture 13：The Complete Solution to Ax=b [download 下载]

Lecture 14: Linear Independence [download 下载]

5、Chapter Five:

Lecture 15: The Properties of Determinants [download 下载]

Lecture 16: Calculating Determinants [download 下载]

6、Chapter Six:

Lecture 17: Eigenvalues [download 下载]

Lecture 18: Diagonalizing a Matrix [download 下载]