1. 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.