Fundamentals 4 min read

Unlock Linear Algebra & Matrix Calculus: Curated Resources for Python Learners

This article compiles a series of Chinese WeChat posts covering linear algebra, calculus, matrix‑vector differentiation, and Python libraries such as NumPy and SciPy, providing direct links for each topic to help learners deepen their mathematical and programming foundations.

Model Perspective
Model Perspective
Model Perspective
Unlock Linear Algebra & Matrix Calculus: Curated Resources for Python Learners

This article aggregates past "Model Perspective" (模型视角) WeChat posts on linear algebra and calculus, with plans to add probability and statistics collections later.

Linear Algebra

Mathematics Linear Algebra 01 – Vectors and Matrices (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683795&idx=1&sn=bf516a883f32d9fd8678077854adb98b)

Mathematics Linear Algebra 02 – Systems of Equations and Gaussian Elimination (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683928&idx=1&sn=91363e154de740217e7cbfcf630768da)

Mathematics Linear Algebra 03 – Matrix Properties and Common Matrices (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683928&idx=2&sn=f7d5bbdd67e5671dec0663013d2a2109)

Mathematics Linear Algebra 04 – Determinants (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653683928&idx=3&sn=26ab7e3132e8464fd3f7a0dfc267fcd8)

Mathematics Linear Algebra 05 – Matrix Exercises (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685673&idx=2&sn=714c8e6e4dfc763489ae43d163467391)

Mathematics Linear Algebra 06 – Important Matrix Concepts (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685670&idx=2&sn=772441e6a7b67268867e79fd842a5ca4)

Mathematics Linear Algebra 07 – Solving Systems (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685675&idx=2&sn=90376e7434df3a2e4b5915c7659af689)

Mathematics Linear Algebra 08 – Elementary Matrices and Transformations (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685678&idx=2&sn=2223b5a1b3d2935ffb0445f182601046)

Mathematics Linear Algebra 09 – Example Problems (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685680&idx=2&sn=10feb7aa02ff1d749ebc418518c51db6)

Mathematics Linear Algebra 10 – Linear Dependence and Independence (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685682&idx=2&sn=f41c8eec90d76875339b025019dbffaf)

Mathematics Linear Algebra 11 – Vector Spaces (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653685753&idx=2&sn=a38a64ab12838c40d63541bad1abbc98)

Matrix‑Vector Differentiation

Calculus 20 – Matrix‑Vector Differentiation (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653687878&idx=2&sn=f2040f55baf1664d8b492b527b10b9c0)

Calculus 21 – Definition Method (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688246&idx=2&sn=55f36f990005b99fde435a97ec36cf37)

Calculus 22 – Differential Method (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688361&idx=2&sn=2eab6669e3faef8fb81c12f21b9b7a2b)

Calculus 23 – Chain Rule (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653688500&idx=2&sn=c6f7b634741efdf82c8f26a200da9e22)

Python Programming for Linear Algebra

Programming – Python Third‑Party Library NumPy (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684263&idx=1&sn=93e8afb2bd2efcf007c95bab420bddb2)

Programming – NumPy 02: Underlying Mechanisms of Common Functions (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653684817&idx=2&sn=81c5e1f384eab6857866831b6dcb2729)

Programming – SciPy 03: Linear Algebra (http://mp.weixin.qq.com/s?__biz=MzAxMTYzNTA2Ng==∣=2653686700&idx=2&sn=36400a50917f32372065b8e3aa3a1636)

pythonNumPylinear algebraSciPymath resourcesmatrix calculus
Model Perspective
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Model Perspective

Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".

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