eigentaylor

i wrote these

A Mathematical Case for Approval Voting

Approval voting is the best voting system (AKA, Taylor gets political)

76 min read · 2025

Why do we row reduce? What IS a matrix?

What does the RREF tell us, and why do we spend so much time on it? Why do we define matrix multiplication the way we do?

37 min read · 2024

Constructing Integer 2x2 First Order Systems of Differential Equations with Integer Solutions

Nice solutions? Nice.

15 min read · May 15, 2021

2021 · works-in-progress
Matrix Exponential Formulas for 2x2 Matrices Using Laplace Transforms

this has been rewritten

7 min read · April 26, 2021

2021 · matrix-exponentials · archive
Eigendecomposition of Real Matrices with Complex Eigenvalues

An attempt at an intuitive derivation.

4 min read · April 20, 2021

2021 · linear-algebra
Solving Multiple Initial Value Problems with Normalized Solutions

Solve one, solve them all.

4 min read · February 10, 2021

2021 · normalized-solutions · differential-equations
Constructing 2x2 Markov Matrices

Build a Markov Chain with desired behavior.

6 min read · January 16, 2021

2021 · linear-algebra