Matrix Transpose

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This Demonstration illustrates the transpose of a matrix.

Contributed by: Udo Lorz (November 2011)
(TU Bergakademie, Freiberg)
Open content licensed under CC BY-NC-SA



The transpose of a matrix is another matrix created by any one of the following equivalent actions:

• write the columns of as the rows of

• write the rows of as the columns of

• take the element of as the element of

• reflect over its main diagonal (which runs top left to bottom right) to obtain

If is an matrix then is an matrix.

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