THE INSTRUCTOR

Chia-Hui Chang

Office hours - Wednesday, 4:00-5:00 PM

TEACHING ASSISTANT

­Sµn³Í 945402017@cc.ncu.edu.tw

Office hours - Tuesday, 12:50-14:50 PM

TEXTBOOK

Linear Algebra With Applications (3nd Ed), Otto Bretscher, Prentice Hall. (¥þµØ¥N²z)

MIT Open Coures Ware

• Chapter 1: Linear Equations (download slides)
• Chapter 2: Linear Transformations (download slides)
  • Sec 2-1: Introduction to Linear Transformations
  • Sec 2-2: Linear Transformations in Geometry
  • Sec 2-3: The Inverse of a Linear Transformation
  • Sec 2-4: Matrix Products
• Chapter 3: Subspaces and Dimensions (download slides)
  • Sec 3-1: Image and Kernel of a Linear Transformation
  • Sec 3-2: Subspaces; Bases and Linear Independence
  • Sec 3-3: The Dimension of a Subspace
  • Sec 3-4: Coordinates
• Chapter 4: Linear Spaces (download slides)
  • Sec 4-1: Introduction to Linear Spaces
  • Sec 4-2: Linear Transformations and Isomorphisms
  • Sec 4-3: Coordinates in a Linear Space
• Chapter 5: Orthogonality (download slides)
  • Sec 5-1: Orthonormal Bases and Orthogonal Projections
  • Sec 5-2: Gram-Schmidt Process and QR Factorization
  • Sec 5-3: Orthogonal Transformation and Orthogonal Matrices
  • Sec 5-4: Least Squares and Data Fitting
• Chapter 6: Determinants (download slides)
  • Sec 6-1: Introduction to Determinants
  • Sec 6-2: Properties of the Determinant
• Chapter 7: Eigenvalues and Eigenvectors (download slides)
  • Sec 7-1: Dynamical Systems and Eigenvectors
  • Sec 7-2: Finding the Eigenvalues of a Matrix
  • Sec 7-3: Finding the Eigenvectors of a Matrix
  • Sec 7-4: Diagonalization
• Chapter 8: Symmetric Matrices and Quadratic Forms (download slides)
  • Sec 8-1: Symmetric Matrices
  • Sec 8-2: Quadratic Forms
  • Sec 8-3: Singular Value Decomposition
  • Sec 8-3: Applications

Homework (2004)