Linear Algebra (II)

This is a class at NTU by the professor Yi-Fan Yang. The main textbook is  Linear Algebra (4-th edition) written by Friedberg, Insel, and Spence.

Jordan Form (1)

Jordan Form (2)

Real Jordan Form

Exponential of Matrix / ODE / Rational Form

Hilbert Space and basic Fourier Analysis

Inner Product Space Review and Hilbert Space (sequal)

Singular Value Decomposition and Pseudoinverse

Structure Theorem of Alternating Bilinear Form

Condition Number and the Rayleigh Quotient

Witt Decomposition Theorem and Cartan-Dieudonné Theorem

Finite Fields, Quadratic Forms over Characteristic 2 Fields, Classification of Quadratic Forms over Finite Fields