Linear Algebra
Through MIT’s “Linear Algebra and NxN Systems”, I explored foundational linear algebra, with a focus on square matrices and systems of differential equations. Studying these ideas helped me connect matrix calculations with the behavior of a system. I plan to build on this foundation through further study in mathematical modeling.
Course: MITx 18.03.3x - Linear Algebra and NxN Systems
Certificate
No. 002 ·
·
Notes
MITx 18.03.3x - Course Completion Certificate
Notes
No. 001 ·
·
Notes
Linear Algebra - Lecture Notes
Gaussian elimination 高斯消元法; vector spaces 向量空间; basis and dimension 基与维数; column space and nullspace 列空间与零空间; rank-nullity theorem 秩-零度定理; eigenvalues and eigenvectors 特征值与特征向量; systems of differential equations 微分方程组; coupled oscillators 耦合振子; Jacobian matrix 雅可比矩阵; stability analysis 稳定性分析; Lotka-Volterra model 洛特卡-沃尔泰拉模型; zipline modeling 滑索建模