This repository contains projects for use in Math 311 Linear Algebra. It is used with Google Colaboratory, and is intended to help students learn how to do linear algebra using code.

Math 311 Students: Add your own repository to this Google Sheet:

Projects for Linear Algebra

1: Using Google Co-Laboratory to introduce the idea of solving systems of equations with code: https://github.com/awangberg/Math311_Linear_algebra_code_projects/blob/master/Math_311_solve_systems_using_computation_and_rref.ipynb

2: The Ski Hill Example: Modeling future behavior using transition matrices.
https://github.com/awangberg/Math311_Linear_algebra_code_projects/blob/master/The_Ski_Hill_Transition_Matrices_and_Markov_Chains.ipynb

3: Secret Number: Decoding a secret polynomial from data points using linear algebra. https://github.com/awangberg/Math311_Linear_algebra_code_projects/blob/master/Math_311_secret_number.ipynb

4: Sports Teams Rankings: Using game data to rank the strength of teams using linear algebra. https://github.com/awangberg/Math311_Linear_algebra_code_projects/blob/master/Sports_Teams_Rankings.ipynb

5: Gram-Schmidt Process using vectors. Students create this from scratch.

6: Gram-Schmidt Process with Function Spaces:

• Polynomial Function Spaces: https://github.com/awangberg/Math311_Linear_algebra_code_projects/blob/master/Gram_Schmidt_Process_with_Poynomial_Function_Spaces.ipynb

• Periodic Function Spaces: https://github.com/awangberg/Math311_Linear_algebra_code_projects/blob/master/Gram_Schmidt_Process_with_Periodic_Function_Spaces.ipynb

7: The Impact of Singular Values (e.g. eigenvalues for non-square matrices) https://github.com/awangberg/Math311_Linear_algebra_code_projects/blob/master/Explore_Impact_of_Eigenvalues_for_non_square_matrices.ipynb