trans·pose / transˈpōz/ • v. [tr.] 1. cause (two or more things) to change places with each other: the captions describing the two state flowers were accidentally transposed.2. transfer to a different place or context: the problems of civilization are transposed into a rustic setting. ∎  write or play (music) in a different key from the original: the basses are transposed down an octave. ∎  Math. transfer (a term), with its sign changed, to the other side of an equation. ∎  change into a new form: he transposed a gaffe by the mayor into a public-relations advantage.• n. Math. a matrix obtained from a given matrix by interchanging each row and the corresponding column.DERIVATIVES: trans·pos·a·ble adj.trans·pos·al / -ˈspōzəl/ n.trans·pos·er n.

transpose of an m×n matrix A. The n×m matrix, symbol A^T, given by interchanging rows and columns. Thus the i,jth element of A^T is equal to the j,ith element of A.