eigentaylor

i wrote these

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

Constant Coefficient ODEs Made Simple with Linear Operators

No more guessing. Let's make it intuitive with linear algebra.

23 min read · 2023

Introduction to Euler's Formula

the best formula

5 min read · May 22, 2021

2021 · calculus
Constructing Integer 2x2 Second Order Systems of Differential Equations with Integer Solutions

It's a lot messier.

12 min read · May 17, 2021

2021 · works-in-progress
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