diagonalise vs transform

diagonalise and transform both are verbs.

Word	Noun	Adjective	Verb	Adverb
diagonalise	No	No	Yes	No
transform	No	No	Yes	No

As verbs, transform is a hypernym of diagonalise; that is, transform is a word with a broader meaning than diagonalise:

Other hypernyms of diagonalise include translate.

diagonalise (verb)	transform (verb)
transform a matrix to a diagonal matrix	change or alter in form, appearance, or nature
	change from one form or medium into another
	subject to a mathematical transformation
	change in outward structure or looks
	increase or decrease (an alternating current or voltage)
	change (a bacterial cell) into a genetically distinct cell by the introduction of DNA from another cell of the same or closely related species
	convert (one form of energy) to another