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 6Inner product
Session 7Orthonormal basis
Session 8Linear combination and cross product with orthonormal basis
Session 9Diagonalizing a matrix
Session 10Properties and diagonalization of eigenvalues and eigenvectors
Session 11Application of diagonalization
Session 12Diagonalization of symmetric matrix by orthogonal matrix
Session 13Quadratic form
Session 14Spectral decomposition
＊＊This content is based on April 1, 2025. For the latest syllabus information and details, please check the syllabus information inquiry page provided by the university.＊＊