Matrix operation which flips a matrix over its diagonal
This article is about the transpose of matrices and linear operators. For other uses, see Transposition (disambiguation).
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).[1]
The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley.[2] In the case of a logical matrix representing a binary relation R, the transpose corresponds to the converse relation RT.
^Nykamp, Duane. "The transpose of a matrix". Math Insight. Retrieved September 8, 2020.
^Arthur Cayley (1858) "A memoir on the theory of matrices", Philosophical Transactions of the Royal Society of London, 148 : 17–37. The transpose (or "transposition") is defined on page 31.
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