An Etymological Dictionary of Astronomy and Astrophysics
English-French-Persian

Of an m x n→ matrix  A with → complex  → elements, the n x m matrix A^* obtained from A by taking the → transpose and then taking the → complex conjugate of each element. Same as → adjoint matrix or Hermitian transpose.

→ conjugate; → transpose.

1) To transfer a mathematical → term from one side of an → equation to the other, with corresponding change of sign.
2) Of a → matrix, to interchange → rows and → columns.
3) The mathematical object obtained by replacing all → elements a_ij with a_ji.

From M.E. transposen, from O.Fr. transposer, from L. transponere "to place over," from → trans- + ponere "to put, place."

Tarânehâdan, tarânehâd, from tarâ-, → trans-, + nehâdan "to place, put; to set;" Mid.Pers. nihâtan; Av. ni- "down; into," → ni- (PIE), + dâ- "to put; to establish; to give," dadâiti "he gives;" cf. Skt. dadâti "he gives;" Gk. didomi "I give;" L. do "I give;" PIE base *do- "to give").

The matrix of → order n x m obtained from a matrix of order m x n by exchanging the order of the → rows and → columns.

Tansposed, p.p. of → transpose; → matrix.