Definition
diagonalizing
verb
- converting a matrix into diagonal form, typically through a similarity transformation using eigenvectors and eigenvalues
Usage: mathematics; linear algebra; present participle of diagonalize
Examples
- The engineer is diagonalizing the matrix to simplify the system of equations.
- Diagonalizing a symmetric matrix makes it easier to compute its powers.
- In linear algebra, diagonalizing a matrix reveals its eigenvalues on the diagonal.
- The algorithm works by diagonalizing the covariance matrix.
- We are diagonalizing the transformation matrix to understand its geometric properties.