verb
- to transform a square matrix into a diagonal matrix, typically by finding eigenvalues and eigenvectors
Usage: mathematics; linear algebra
Examples
- In linear algebra, we diagonalize the matrix to simplify calculations.
- The engineer used software to diagonalize the large system matrix.
- To diagonalize a symmetric matrix, you need to find its eigenvalues first.
- Once you diagonalize the transformation, the problem becomes much easier to solve.
- Not every matrix can be diagonalized over the real numbers.