Merriam-Webster's Collegiate® Dictionary, 11th Edition
TRANSPOSE
I. transitive verb (transposed; transposing) see: position
Date: 14th century
to change in form or nature ; transform , to render into another language, style, or manner of expression ; translate , to transfer from one place or period to another ; shift , to change the relative place or normal order of ; alter the sequence of , to write or perform (a musical composition) in a different key, to bring (a term) from one side of an algebraic equation to the other with change of sign, see: reverse transposable adjective
II. noun
Date: 1937
a matrix formed from another matrix by interchanging the rows and columns