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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

http://algebra.math.ust.hk/

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Linear Algebra | algebra.math.ust.hk Reviews

https://algebra.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: Table of Contents

http://algebra.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...

2

Linear Algebra: Description of the Course

http://algebra.math.ust.hk/course/description.shtml

Description of the Course. Introduce the basic computational tool. Introduce some basic concepts in concrete and familier setting. Chapter 1. Systems of linear equations. The analysis of how systems of linear equations. Are solved leads us to the basic computational tool of this course: row operation. And row echelon form. The tool provides explicit answer to the existence. Chapter 2. Linear transformation and matrix. From the new viewpoint. Moreover, linear transformations are equivalents to matrices.

3

Linear Algebra: Description of Chapter 2

http://algebra.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...

4

Linear Algebra: Syllabus

http://algebra.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...

5

Linear Algebra: How to Write Math Formula

http://algebra.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.

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Linear Algebra

We will meet on Saturday Dec 7 in the usual time. There will be a quiz on inner products. You need to take the final exam together with my regular students. The exam will start at 12:30 on Saturday, Dec 14. We will meet in the usual place at 10 and I will answer your questions before the exam. For detailed arrangment about the exam and the past final exams, please go to my regular website. Description of the Course. Description of Chapter 1. Description of Chapter 2. Aspects of the Course.

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dy/dan » Algebra: The Supplement

I almost deleted this resource recently. I'm still proud of some of its individual lessons and discrete ideas, but I first posted this when I was a fourth-year teacher and still pretty obsessed with classroom management and my own authority. My teaching has changed a lot since then, mostly for the better. You can find the stuff I'm most proud at threeacts.mrmeyer.com. I'm leaving this up but please be a critical consumer. Some of the ideas on this shelf are long past their buy-by date. Point-slope, inter...