transpose

Etymology 1

From Middle English transposen, from Old French transposer, from Latin trānspositus, perfect passive participle of trānspōnō (“to put across”), from trāns (“across”) + pōnō (“to put”).

verb

1. (transitive) To reverse or change the order of (two or more things); to swap or interchange.
2. (transitive, music) To rewrite or perform (a piece) in another key.
3. (transitive, algebra) To move (a term) from one side of an algebraic equation to the other, reversing the sign of the term.
4. (transitive, linear algebra) To rearrange elements in a matrix, by interchanging their respective row and column positional indicators.
5. (transitive, law, chiefly of the European Union) To give force to a directive by passing appropriate implementation measures.
6. (intransitive, chess) To reach a position that may also be obtained from a different move order.
   After e6, the opening transposed to a Sicilian.

adj

1. (adjective, linear algebra) A matrix with the characteristic of having been transposed from a given matrix.

noun

1. (adjective, linear algebra) The resulting matrix, derived from performing a transpose operation on a given matrix.

Etymology 2

From the verb.

noun

1. (linear algebra) The process of rearranging elements in a matrix, by interchanging their respective row and column positional indicators.