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

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: https://www.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