permute vs transpose

permute is not a noun while transpose is a noun.

Word	Noun	Adjective	Verb	Adverb
permute	No	No	Yes	No
transpose	Yes	No	Yes	No

As verbs, permute and transpose are synonyms defined as:

Other synonyms of permute include commute.

permute (noun)	transpose (noun)
	a matrix formed by interchanging the rows and columns of a given matrix

permute (verb)	transpose (verb)
change the order or arrangement of	change the order or arrangement of
	change key
	cause to change places
	exchange positions without a change in value
	transfer from one place or period to another
	put (a piece of music) into another key
	transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality