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