Glossary math Term Page
Diagonalization
A rewriting into diagonal form in a suitable basis
Core Idea
Diagonalization rewrites a matrix in the form A = P D P^-1 when there are enough independent eigenvectors to form a basis. In that basis, the transformation becomes much easier to read and compute.
Role In This Blog
In Mathbong, diagonalization is used to show how eigenvectors create the "right axes" for understanding a transformation.