# What Is the Eigenvalue Problem and How Do You Solve It?

9 min readMay 10, 2024

This won’t make sense (yet), but the eigenvalue problem looks like this:

This equation says that a matrix (A) operating on a vector (r) is equal to a scalar (λ) multiplied by the same vector. I actually remember seeing this for the first time and just thinking — “hey, wouldn’t A just be equal to λ?”. Alas, no. A is a matrix and λ is a scalar. They can’t be equal.