Maks

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 by producing another matrix denoted as AT (also written A′, Atr, tA or At). It is achieved by any one of the following equivalent actions: reflect A over its main diagonal (which runs from top-left to bottom-right) 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: ...