教學大綱與進度

課程基本資料：

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
111-2	316737	矩陣代數與應用	1	3.0	3	★	陳晏笙	電子所 電資外生所	9	0	電子所與電資外生所合開

教學大綱與進度：

教師姓名	陳晏笙　教師諮商時間(Office Hours)
Email	yschen@ntut.edu.tw
最後更新時間	2022-12-14 19:27:36
課程大綱	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.
課程進度	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
評量方式與標準	Midterm 50% Final 50%
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 Gilbert Strang, Linear Algebra and Its Applications, 4th Edition, Thomson, 2006.
課程諮詢管道	Office hour: 13:00-17:00, Monday. E-mail: yschen@ntut.edu.tw
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