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Math 2331 – Linear Algebra Introduction of Linear Algebra Shang-Huan Chiu Department of Mathematics, University of Houston [email protected] math.uh.edu/schiu/ Fall, 2017 S.-H.Chiu Math 2331, Linear Algebra 1/4

Math 2331 Linear Algebra - Introduction of Linear Algebra · Math 2331 – Linear Algebra Introduction of Linear Algebra Shang-Huan Chiu Department of Mathematics, University of Houston

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Page 1: Math 2331 Linear Algebra - Introduction of Linear Algebra · Math 2331 – Linear Algebra Introduction of Linear Algebra Shang-Huan Chiu Department of Mathematics, University of Houston

Math 2331 – Linear Algebra

Introduction of Linear Algebra

Shang-Huan Chiu

Department of Mathematics, University of Houston

[email protected]

math.uh.edu/∼schiu/

Fall, 2017

S.-H.Chiu Math 2331, Linear Algebra 1 / 4

Page 2: Math 2331 Linear Algebra - Introduction of Linear Algebra · Math 2331 – Linear Algebra Introduction of Linear Algebra Shang-Huan Chiu Department of Mathematics, University of Houston

Core Syllabus

A quote from the article The linear Algebra Curriculm Studay Group

Recommendations for the First Course in Linear Algebra1:

Matrix Addition and Multiplication

System of linear Equations

Gaussian elimination/ elementary matrices. Echelon and reduced

echelon from. Existence/uniqueness of solutions. Matrix inverses.

Row reduction interpreted as an LU-factorization.

1D. Carlson, C. R. Johnson, D. C. Lay and A. D. Porter, The College Mathematics

Journal Vol. 24, No. 1, pp. 41-46S.-H.Chiu Math 2331, Linear Algebra 2 / 4

Page 3: Math 2331 Linear Algebra - Introduction of Linear Algebra · Math 2331 – Linear Algebra Introduction of Linear Algebra Shang-Huan Chiu Department of Mathematics, University of Houston

Core Syllabus (conti.)

Determinants

Properties of Rn

Linear combination. Bases of Rn. Subspace of Rn. Matrices as linear

transformations. Rank. Inner Product.

Eigenvalues and Eigenvectors

More on Orthogonality

Orthogonal projection onto a subspace; Gram-Schmidt

orthogonalization

S.-H.Chiu Math 2331, Linear Algebra 3 / 4

Page 4: Math 2331 Linear Algebra - Introduction of Linear Algebra · Math 2331 – Linear Algebra Introduction of Linear Algebra Shang-Huan Chiu Department of Mathematics, University of Houston

Syllabus for this class

My website:

https://www.math.uh.edu/ schiu/2017fallLinearAlgebra.html

Calender: HW dues, Exam dates.

Homework

Textbook: Linear Algebra and Its Applications, 4th Edition, by David

C. Lay. ISBN10: 0321385179 ISBN13: 9780321385178

Please read A Note to Students

S.-H.Chiu Math 2331, Linear Algebra 4 / 4