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

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
Linear Differential Equation Interpolation

Linear Differential Equations with desired solutions using determinants.

4 min read · January 14, 2021

2021 · differential-equations
Skew-Symmetric Matrices Are Cool

top 10 things YOU didn't know about real skew-symmetric matrices!!! (GONE WRONG) (COPS CALLED)

10 min read · January 08, 2021

2021 · linear-algebra
The Alpha Method (Generalized Exponential Response Formula)

Easy particular solutions to nonhomoegenous constant coefficient linear differential equations with simple exponential/trigonometric forcing functions.

10 min read · January 04, 2021

2021 · best · differential-equations