Definition
diagonalizes
verb
- to transform (a matrix) into diagonal form, typically through a change of basis or similarity transformation
Usage: mathematics; linear algebra; third-person singular present tense of 'diagonalize'
Examples
- The algorithm diagonalizes the symmetric matrix to find its eigenvalues.
- She diagonalizes the covariance matrix as part of the principal component analysis.
- When you diagonalize a matrix, you simplify many computational problems.
- The software diagonalizes large matrices efficiently using iterative methods.
- He diagonalizes the system to decouple the differential equations.