N160001 線形代数学（講義・演義）Ｂ Linera Algebra with Exercises B Time and Venue 月3・火2，4共41 (Monday 13:00 - 14:30.　Tuesday  10:30 - 12:00 Room 41, Building No. 4, Yoshida-South Campus, Kyoto University) Grading Policy 20% Homeworks x 5 5% Exercise Sessions 25% Midterm Examination 50% Final Examination References David C. Lay 『Linear Algebra and Its Applications』 (Addison-Wesley) Jim Hefferon 『Linear Algebra and Its Applications』 (Free Download) Lecture Notes (Updated: 2018/01/31) (Download chapters separately below:) (Mathematical Notations) Abstract Vector Spaces Vector Spaces and Subspaces Linear Independent Sets, Bases, Dimension, Direct Sums Linear Transformations Linear Transformations, Null Spaces, Column Spaces Rank Change of Basis Euclidean Spaces Inner Product, Length, Orthogonality Orthogonal Bases, Orthonormal Bases Orthogonal Matrices Orthogonal Projections Gram-Schmidt Process Eigenvalues, Eigenvectors Eigenvalues and Eigenvectors Determinant Characteristic Polynomials Similar Matrix  Diagonalization Diagonalization Symmteric Matrix Minimal Polynomials Jordan Canonical Form Quadratic Form Singular Value Decomposition Complex Matrix Homeworks Due Date 2017 - 10 - 23 Homework 1 2017 - 11 - 6 Homework 2 2017 - 11 - 20 Homework 3 2017 - 12 - 25 Homework 4 2018 - 01 - 22 Homework 5 Exercise Sessions Date 2017 - 10 - 24 Exercise 1 2017 - 11 - 7 Exercise 2 2017 - 12 - 19 Exercise 3 Supplementary Exercises