Gentle Introduction to Modeling with Matrices and Vectors: A Probabilistic Weather Model @Eigensteve

Uploaded September 2022 | Updated September 2026, 2 weeks ago

This video gives an intro example of how we model complex systems that change in time, using matrices and vectors. Specifically, I build a toy model for the weather, where the probability of the weather today being "(R)ainy", "(N)ice", or "(C)loudy" is stored in a vector [R, N, C]. This probability of the weather being in one of these states tomorrow is then updated by multiplying this vector by a probability matrix.

Code examples are given in Python and Matlab.

Playlist: youtube.com/playlist?list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA
Course Website: http://faculty.washington.edu/sbrunton/me564/

@eigensteve on Twitter
eigensteve.com
databookuw.com

This video was produced at the University of Washington

%%% CHAPTERS %%%
0:00 Overview
1:07 Building a simple weather model
5:00 Modeling the state as a vector
6:50 Writing the dynamical system update rule as a matrix
14:07 Matlab code example
23:43 Python code example
38:24 Teaser of how to make system more realistic

Gentle Introduction to Modeling with Matrices and Vectors: A Probabilistic Weather Model

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