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Answer for the clue "(matrix algebra) changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal) ", 15 letters:
diagonalisation

Word definitions for diagonalisation in dictionaries

Wiktionary Word definitions in Wiktionary
n. (context UK English) In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.

WordNet Word definitions in WordNet
n. changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal); "the diagonalization of a normal matrix by a unitary transformation" [syn: diagonalization ]