Prinz Software

Underdetermined Systems. A system of equations with more variables than equations has infinitely many solutions. Why? 2025.

Change Is the Value of Software. The easier it is to change software, the more value it has. Software that is difficult to change is a liability. 2025.

Seeing Rows Combine. When the columns of a matrix have obvious relationships, can you squint to see the row relationships too? 2024.

What Is Elimination Eliminating? We can eliminate variables to solve systems of equations, but do they really disappear? 2024.

Explaining Linear Independence. Do the vectors make a line, or a plane? One simple question with four different answers. 2024.

Filling Space with Points. Under which conditions can we fill 3D space by combining vectors? 2024.

Making Planes with Linear Combinations. Visual intuition for stretching and shrinking vectors, and adding them together in 3D space. 2024.

Is (Artificial) Intelligence Unbounded? Somebody asked a fascinating question the other day. 2024.