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Linear Algebra

Dr. Min Yan is a Mathematician in Hong Kong University of Science and Technology. He teaches linear algebra in this semester

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Linear Algebra | old.www.math.ust.hk Reviews

https://old.www.math.ust.hk

Dr. Min Yan is a Mathematician in Hong Kong University of Science and Technology. He teaches linear algebra in this semester

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1

Linear Algebra: Syllabus

http://old.www.math.ust.hk/course/syllabus.shtml

Who teach the course? Min Yan, (office)3484, (phone)23587442. What does the course cover? Chapters 1, 2) Introduce the basic computational tool. Introduce some basic concepts in concrete and familier setting. Chapter 3) The core part of linear algebra. Extend concrete theory to abstract setting and introduce more abstract concepts. Chapters 4, 5, 6, 7) More advanced part of the course. The topics are theoretically the most important and practically the most useful. What should the students do? Although t...

2

Linear Algebra: Table of Contents

http://old.www.math.ust.hk/course/content.shtml

System of Linear Equations. System of Linear Equations. Gaussian elimination and back substitution. Extra: The three operations do not change solutions. Shape of row echelon form. Computing row echelon form. Reduced row echelon form. Extra: Reduced row echelon form vs. General solution. Existence of solutions for fixed right side. Existence of solutions for any right side. A Basic Linear Algebra Principle. Implication of existence/uniqueness on size. Implication of size on existence/uniqueness. Definitio...

3

Linear Algebra

http://old.www.math.ust.hk/course/schedule.shtml

The following is the schedule for the topics discussed in the chatting session. We will see how things go and make necessary adjustments. System of Linear Equations. A Basic Linear Algebra Principle. September 28, Tutorial 1. Composition and Matrix Multiplication. October 12, Tutorial 2. Range and Column Space. Kernel and Null Space. October 28, Tutorial 3, Midterm. November 9, Tutorial 4. November 23, Tutorial 5. December 7, Tutorial 6.

4

Linear Algebra: How to Write Math Formula

http://old.www.math.ust.hk/course/math_write.shtml

How to Write Math Formula. 2, 2) →. T [a 1, a 2; b 1, b 2] = a 1/b 2 a 2 t b 1 2 t 2: M(2, 2) - P 2.

5

Linear Algebra: Description of Chapter 2

http://old.www.math.ust.hk/course/description2.shtml

Description of Chapter 2. 1 Vector and Matrix. Introduce the concept of euclidean vector. And the related notations and terminologies. The concept of transformation. Is introduced with many examples from everyday life. Then we think of the left side of a system of linear equations as the formula for a transformation between euclidean spaces. Since such transformations are determined by the coeficient matrices, we call them matrix transformations. While linear transformations are described by. Corresponds...

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