Linear Algebra II

Course Purpose
This course is a continuation of Linear Algebra I. The purpose of this course is for students to learn eigenvalues, eigenvector, inner productand orthogonality, diagonalization, linear space and linear maps.
Learning Goals
Students will aim at understanding the concept of Linear Algebra. Students will aim at being able to calculate eigenvalues, eigenvector and diagonalization, but also master to its application.
Topic
Session 1Review of linear algebra I: Solving simultaneous linear equations
Session 2Review of linear algebra I: First-order independence and first-order subordination
Session 3Vector space
Session 4Basis and dimension
Session 5Linear map
Session 6Diagonalization of matrix
Session 7Properties and diagonalization of eigenvalues and eigenvectors
Session 8Application of diagonalization
Session 9Spectral decomposition
Session 10Inner product
Session 11Orthonormal basis
Session 12Linear combination and cross product with orthonormal basis
Session 13Diagonalization of symmetric matrix by orthogonal matrix
Session 14Quadratic form
＊＊This content is based on April 1, 2024. For the latest syllabus information and details, please check the syllabus information inquiry page provided by the university.＊＊