Definition
diagonalization
noun
- The process of transforming a square matrix into a diagonal matrix, typically by finding eigenvalues and eigenvectors.
Usage: mathematics; linear algebra
Examples
- The diagonalization of the matrix simplified the calculation of its powers.
- In linear algebra, diagonalization is a key technique for solving systems of differential equations.
- The professor explained how diagonalization reveals the eigenvalues of a transformation.
- Not every matrix admits diagonalization over the real numbers.
- Diagonalization makes it easier to compute matrix exponentials.