線性代數

臺北科技大學 114-2 學期課程，課號 359254。

課程大綱

This course covers fundamentals of mathematics in matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, and similarity.

課程進度

Week 1: Overview; Systems of Linear Equations Week 2-3: Row Reduction and Echelon Forms; Vector and Matrix Equations Week 4: Solution Sets of Linear Systems Week 5-6: Linear Independence Week 7-8: Matrix Algebra 01: Basic Operations, invertible theorem Week 9: Midterm Week 10: Matrix Algebra 02: Matrix Partition, Factorization Week 11: Linear Transformation and Characteristics of Invertible Matrices Week 12-13: Determinants; Vector Spaces and Coordinate Systems; Change of Basis Week 14: Eigenvectors and Eigenvalues; The Characteristic Equation Week 15: Diagonalization; Orthogonal Sets; Orthogonal Projections Week 16: Principal Component Analysis Week 17: Machine Learning and Linear Models Week 18: Final

評量方式

Grading - Homework 15% Quiz 15% Midterm 30% Final 30% Attendance 10% Policy on Copying - Copying is not acceptable. Do your own work.

教材

【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 Textbook - D. Lay, Linear Algebra and its Applications, 6th Edition, Pearson, 2021. Reference - S.H. Friedberg, A.J. Insel, and L.E. Spence, Linear Algebra, 4th Edition, Pearson, 2002. G. Strang, Introduction to Linear Algebra, 4th Edition, Wellesley-Cambridge Press, 2009. K.M. Hoffman, and R. Kunze, Linear Algebra, 2nd Edition, Pearson, 1971.