transpose(redirected from Transpose of a linear transformation)
Also found in: Thesaurus, Medical, Encyclopedia.
v. trans·posed, trans·pos·ing, trans·pos·es
1. To reverse or transfer the order or place of; interchange. See Synonyms at reverse.
2. Mathematics To move (a term) from one side of an algebraic equation to the other side, reversing its sign to maintain equality.
3. Music To write or perform (a composition) in a key other than the original or given key.
4. To render into another language.
5. To alter in form or nature; transform: a diary that was transposed into a novel.
1. Music To write or perform music in a different key.
2. To admit of being transposed.
n. (trăns′pōz′) Mathematics
A matrix formed by interchanging the rows and columns of a given matrix.
[Middle English transposen, to transform, from Old French transposer, alteration (influenced by poser, to put, place) of Latin trānspōnere, to transfer : trāns-, trans- + pōnere, to place; see apo- in Indo-European roots.]
1. (tr) to alter the positions of; interchange, as words in a sentence; put into a different order
2. (Music, other) music
a. to play (notes, music, etc) in a different key from that originally intended
b. to move (a note or series of notes) upwards or downwards in pitch
3. (Mathematics) (tr) maths to move (a term) from one side of an equation to the other with a corresponding reversal in sign
(Mathematics) maths the matrix resulting from interchanging the rows and columns of a given matrix
[C14: from Old French transposer, from Latin transpōnere to remove, from trans- + pōnere to place]
trans•pose(v. trænsˈpoʊz; n. ˈtræns poʊz)
v. -posed, -pos•ing,
1. to change or reverse the relative position, order, or sequence of; interchange: to transpose the letters of a word.
2. to transfer or transport.
3. to write or perform (a musical composition) in a different key.
4. to bring (a term) from one side of an algebraic equation to the other, with corresponding change of sign.
5. to transform; transmute.v.i.
6. to transpose music.n.
7. Math. a matrix formed from a given matrix by transposing the rows and columns.
To move a term or quantity from one side of an algebraic equation to the other by adding or subtracting that term to or from both sides. By subtracting 2 from both sides of the equation 2 + x = 4, one can transpose the 2 to the other side, yielding x = 4 - 2, and thus determine that x equals 2.
Past participle: transposed
Switch to new thesaurus
|Noun||1.||transpose - a matrix formed by interchanging the rows and columns of a given matrix|
matrix - (mathematics) a rectangular array of quantities or expressions set out by rows and columns; treated as a single element and manipulated according to rules
|Verb||1.||transpose - change the order or arrangement of; "Dyslexics often transpose letters in a word"|
change by reversal, reverse, turn - change to the contrary; "The trend was reversed"; "the tides turned against him"; "public opinion turned when it was revealed that the president had an affair with a White House intern"
|2.||transpose - transfer from one place or period to another; "The ancient Greek story was transplanted into Modern America"|
shift - move from one setting or context to another; "shift the emphasis"; "shift one's attention"
|3.||transpose - cause to change places; "interchange this screw for one of a smaller size"|
|4.||transpose - transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality|
|5.||transpose - put (a piece of music) into another key|
music - an artistic form of auditory communication incorporating instrumental or vocal tones in a structured and continuous manner
|6.||transpose - exchange positions without a change in value; "These operators commute with each other"|
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
change - undergo a change; become different in essence; losing one's or its original nature; "She changed completely as she grew older"; "The weather changed last night"
|7.||transpose - change key; "Can you transpose this fugue into G major?"|