Transpose (matrix) Definition (Illustrated Mathematics Dictionary)

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ABCDEFGHIJKLMNOPQRSTUVWXYZ Definition of Transpose (matrix)

"Flipping" a matrix over its diagonal. The rows and columns get swapped.

The symbol is a "T" placed above and to the right like this: AT

Example: the value in the 1st row and 3rd column ends up in the 3rd row and 1st column.

The values on the main diagonal stay the same.

The transpose of a transpose gets us back to where we started.

(Animation courtesy Wikpedia user LucasVB)