transposition

/ˌtrænzpəˈzɪʃən/
noun
  1. The act or result of changing the order or position of two or more things; a swap.
    • The error was caused by a transposition of digits in the phone number.
    • In cryptography, a transposition rearranges the letters of a message.
    • A simple transposition of the letters turned 'dog' into 'god'.
  2. In music, the act of rewriting or performing a piece in a different key.
    • She practiced transposition daily to improve her sight-reading skills.
    • The composer's transposition made the piece accessible to alto singers.
    • The transposition from C major to D major required changing all the notes.
  3. In mathematics, a matrix operation that swaps rows and columns.
    • The transposition of the data matrix revealed new patterns.
    • Matrix transposition is a fundamental operation in linear algebra.
    • He explained that transposition does not change the determinant of a square matrix.
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