線性代數

臺北科技大學 114-2 學期課程，課號 359255。

課程大綱

As a basic mathematics in engineering, the course Linear Algebra emphasizes on the subject of matrix computation (theory) and the technique of mathematical proving. 一、線性連立方程式 二、矩陣基本運算 三、行列式 四、向量空間與基底 五、線性相依與線性獨立 六、線性轉換 七、正交空間 八、特徵值與特徵向量

課程進度

Week 1. Introduction, Vectors, Linear Equations Week 2. Systems of Linear Equations Week 3. Row Reduction and Echelon Forms Week 4. Matrix Operations Week 5. Matrix Equation Ax=b Week 6. Complete Solution to Ax=b Week 7. Inverses of a Matrix Week 8. Cramer’s Rule, Determinants, Cofactors Week 9. Midterm Exam Week 10. Linear Independence Week 11. Subspaces, Basis, Vector Spaces Week 12. Change of Basis, Dimension, Rank Week 13. Eigenvalues and Eigenvectors Week 14. Diagonalization Week 15. Inner Product, Length, Orthogonality Week 16. Orthogonal Projection Week 17. Gram-Schmidt Process Week 18. Final Exam

評量方式

Homework 15% Quiz (closed book) 15% Midterm Exam (closed book) 35% Final Exam (closed book) 35%

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 *David C. Lay, Linear Algebra and Its Applications, 6th ed., Pearson, 2022. *K. Kuttler , A First Course in Linear Algebra, Open Edition, Lyryx, 2023. https://www.oercommons.org/courses/first-course-linear-algebra/view -Reference *Gilbert Strang, Introduction to Linear Algebra, 4th ed., Wellesley-Cambridge Press, 2009.