Wolfram Demonstrations Project

This Demonstration illustrates the transpose of a matrix.

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

is an

matrix then

is an

matrix.

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Matrix Transposition