Tool to compute the transpose of a matrix. The transpose of a matrix M of size mxn is a matrix denoted ^{t}M of size nxm created by swapping lines and columns.

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Tool to compute the transpose of a matrix. The transpose of a matrix M of size mxn is a matrix denoted ^{t}M of size nxm created by swapping lines and columns.

Answers to Questions

How to calculate the transpose of a matrix?

The transposition of a matrix is one of the simplest matrix operations to perform. On has to invert lines and columns:$$ \text{ If } M = \begin{pmatrix} a & c & e \\ b & d & f \end{pmatrix} \text{ Then } M^T = \begin{pmatrix} a & b \\ c & d \\ e & f \end{pmatrix} $$

The transposition is valid on both square matrices and rectangular matrices. A transposed row vector is a column vector.

The transposition operation is noted with a T or t (uppercase or lowercase).

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