Transpose of a Matrix

 

The transposition of a matrix is like rotating the matrix 90° in clockwise direction and then reversing it. We can compute transposition of matrices in matlab with the transpose(A) function or A':

A=[abcdef]A = \begin{bmatrix} a & b \\ c & d \\ e & f \end{bmatrix}

AT=[acebdf]A^T = \begin{bmatrix} a & c & e \\ b & d & f \end{bmatrix}

In other words:

Aij=AjiTA_{ij} = A^T_{ji}