transpose

verb

• 1cause (two or more things) to exchange places:the situation might have been the same if the parties in opposition and government had been transposed

• 2transfer to a different place or context:an evacuation order transposed the school from Kent to Shropshire the themes are transposed from the sphere of love to that of work
• write or play (music) in a different key from the original:the basses are transposed down an octave
• Mathematics transfer (a term), with its sign changed, to the other side of an equation.
• translate into another language:a sequence of French tales transposed into English

noun

• a matrix obtained from a given matrix by interchanging each row and the corresponding column: the new matrix is called the transpose of A