Transpose means swap places.
In maths, the term is usually used for matrices. It means truning the matrix around so that its rows become columns and columns become rows.
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What does length mean in math
The Transpose of a MatrixThe matrix of order n x m obtained by interchanging the rows and columns of the m X n matrix, A, is called the transpose of A and is denoted by A' or AT.
Communitive means of, or belonging to, a community. It has no meaning in math. Communative does not mean anything - in math or elsewhere.
What does > mean?
the mean is the average