Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Spring Semester
Year 2024 331683 Matrix Algebra and Its Applications 1 3.0 3 ★ Yen-Sheng Chen 4EN4A
4EN4B
4EN3A
4EN3B 23 1 電子三四甲乙合開

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Spring Semester Year 2024	331683	Matrix Algebra and Its Applications	1	3.0	3	★	Yen-Sheng Chen	4EN4A 4EN4B 4EN3A 4EN3B	23	1	電子三四甲乙合開

Course Plan：

Instructor Yen-Sheng Chen　Office Hours

Email yschen@ntut.edu.tw

Last Updated 2024-05-15 11:30:47

Course Objective This course is the deepening and broadening of linear algebra. In terms of deepening the theory, this course starts with the Gaussian elimination method, explaining the four vector spaces. Next, it explains the orthogonality and projection of matrices. In addition, this course explains the determinants, eigenvalues and eigenvectors, powers and exponents of matrices, and spectral decomposition, finally concluding with singular value decomposition, which is the theorem that unifies all the contents in this semester. In terms of broadening applications, this course introduces scientific and engineering applications, such as regression analysis, linear programming, graph theory and networks, and principal component analysis.

Course Schedule Week and topic: 1. Introduction - Importance of Linear Algebra 2. Ax=b, Matrix, Gaussian Elimination and Application 3. Vector Spaces and Linear Equation 4. Applications: Graphs and Networks 5. Orthogonality and Least Squares 6. Applications: Multiple Regression 7. Spring break 8. Application: Linear Programming 9. Midterm 10. Determinant and its Applications 11. Eigenvalues and Eigenvectors 12. Ak and Difference Equations 13. eA and Differential Equations 14. Similarity Transformation and Spectral Theorem 15. Positive Definite Matrices and Minimum Principles 16. Applications: Multivariate Analysis and Principal Component Analysis 17. Singular Value Decomposition and its Applications 18. Final

Evaluation and grading policy Max(Midterm, Final) 50% Final 50%

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
Gilbert Strang, Linear Algebra and Its Applications, 4th Edition, Thomson, 2006.

The access to curricular consultation Office hour: 14:00-17:00, Friday
E-mail: yschen@ntut.edu.tw

The course corresponds to the SDGs

Note
17、18週線上教學規劃：非同步線上課程，諮詢管道為E-mail: yschen@ntut.edu.tw

Instructor	Yen-Sheng Chen　Office Hours
Email	yschen@ntut.edu.tw
Last Updated	2024-05-15 11:30:47
Course Objective	This course is the deepening and broadening of linear algebra. In terms of deepening the theory, this course starts with the Gaussian elimination method, explaining the four vector spaces. Next, it explains the orthogonality and projection of matrices. In addition, this course explains the determinants, eigenvalues and eigenvectors, powers and exponents of matrices, and spectral decomposition, finally concluding with singular value decomposition, which is the theorem that unifies all the contents in this semester. In terms of broadening applications, this course introduces scientific and engineering applications, such as regression analysis, linear programming, graph theory and networks, and principal component analysis.
Course Schedule	Week and topic: 1. Introduction - Importance of Linear Algebra 2. Ax=b, Matrix, Gaussian Elimination and Application 3. Vector Spaces and Linear Equation 4. Applications: Graphs and Networks 5. Orthogonality and Least Squares 6. Applications: Multiple Regression 7. Spring break 8. Application: Linear Programming 9. Midterm 10. Determinant and its Applications 11. Eigenvalues and Eigenvectors 12. Ak and Difference Equations 13. eA and Differential Equations 14. Similarity Transformation and Spectral Theorem 15. Positive Definite Matrices and Minimum Principles 16. Applications: Multivariate Analysis and Principal Component Analysis 17. Singular Value Decomposition and its Applications 18. Final
Evaluation and grading policy	Max(Midterm, Final) 50% Final 50%
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes Gilbert Strang, Linear Algebra and Its Applications, 4th Edition, Thomson, 2006.
The access to curricular consultation	Office hour: 14:00-17:00, Friday E-mail: yschen@ntut.edu.tw
The course corresponds to the SDGs
Note	17、18週線上教學規劃：非同步線上課程，諮詢管道為E-mail: yschen@ntut.edu.tw