Transpose of a Matrix | Matrices

Transpose of a matrix A is denoted by $A^{T}$.

To get transpose of a matrix, we replace:

Row elements $\rightarrow$ Column elements

and,

Column elements $\rightarrow$ row elements.

If A  =  $[a_{ij}]$ then,

$A^{T}$ = $[a_{ji}]$

Example:

If A = $\begin{bmatrix}1 & 2\\3 & 4\end{bmatrix}$, then $A^{T}$  = $\begin{bmatrix}1 &3\\2 & 4\end{bmatrix}$