一、課程簡介:

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. Determinant and its Applications
8. Eigenvalues and Eigenvectors
9. Applications: Principe Component Analysis
10. Positive Definite Matrices
11. Sigular Value Decomposition and Applications
12. Minimum and Minimax Principles
13. Linear Inequalities and the Simplex Method

二、先修課程:

微積分

三、參考書目:
Gilbert Strang, Linear Algebra and Its Applications, Academic Press
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