Matrix Transposition

This Demonstration illustrates the transpose of a matrix.
  • Contributed by: Udo Lorz
  • (TU Bergakademie, Freiberg)



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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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