Transpose

v. rearrange, reorder, interchange, relocate

In linear algebra, the transpose of a matrix A is another matrix AT (also written Atr, tA, or A′) created by any one of the following equivalent actions:write the rows of A as the columns of ATwrite the columns of A as the rows of ATreflect A by its main diagonal (which starts from the top left) to obtain AT
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Noun
1. a matrix formed by interchanging the rows and columns of a given matrix
(hypernym) matrix
Verb
1. change the order or arrangement of; "Dyslexics often transpose letters in a word"
(synonym) permute, commute
(hypernym) change by reversal, turn, reverse
(hyponym) map, represent
(derivation) transposition, reversal
2. transfer from one place or period to another; "The ancient Greek story was transplanted into Modern America"
(synonym) transfer, transplant
(hypernym) shift
3. cause to change places; "interchange this screw for one of a smaller size"
(synonym) counterchange, interchange
(hypernym) change, alter, modify
4. transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
(hypernym) transfer, shift
(derivation) transposition
5. put (a piece of music) into another key
(hypernym) arrange, set
(classification) music
6. transpose and remain equal in value; "These operators commute with each other"
(synonym) commute
(hypernym) change
(classification) mathematics, math, maths
7. change key; "Can you transpose this fugue into G major?"
(hypernym) change, alter, modify
(derivation) transposition

v. transpose, rearrange, reorder

(v. t.)
To change; to transform; to invert.
  

(v. t.)
To change the place or order of; to substitute one for the other of; to exchange, in respect of position; as, to transpose letters, words, or propositions.
  

(v. t.)
To change the natural order of, as words.
  

(v. t.)
To change the key of.
  

(v. t.)
To bring, as any term of an equation, from one side over to the other, without destroying the equation; thus, if a + b = c, and we make a = c - b, then b is said to be transposed.