transposetrænsˈpoʊz; ˈtræns poʊz
transpose (v)
- present
- transposes
- past
- transposed
- past participle
- transposed
- present participle
- transposing
English Definitions:
transpose (verb)
a matrix formed by interchanging the rows and columns of a given matrix
permute, commute, transpose (verb)
change the order or arrangement of
"Dyslexics often transpose letters in a word"
transfer, transpose, transplant (verb)
transfer from one place or period to another
"The ancient Greek story was transplanted into Modern America"
counterchange, transpose, interchange (verb)
cause to change places
"interchange this screw for one of a smaller size"
transpose (verb)
transfer a quantity from one side of an equation to the other side reversing its sign, in order to maintain equality
transpose (verb)
put (a piece of music) into another key
commute, transpose (verb)
exchange positions without a change in value
"These operators commute with each other"
transpose (verb)
change key
"Can you transpose this fugue into G major?"
Transpose
In linear algebra, the transpose of a matrix A is another matrix AT created by any one of the following equivalent actions: ⁕reflect A over its main diagonal to obtain AT ⁕write the rows of A as the columns of AT ⁕write the columns of A as the rows of AT Formally, the i th row, j th column element of AT is the j th row, i th column element of A: If A is an m × n matrix then AT is an n × m matrix. The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley.
Transpose
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by AT (among other notations).The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley. In the case of a logical matrix representing a binary relation R, the transpose corresponds to the converse relation RT.
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"transpose." Kamus.net. STANDS4 LLC, 2024. Web. 29 Mar. 2024. <https://www.kamus.net/english/transpose>.
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