Calculating Transpose of a Matrix

Transpose of a Matrix is calculated by turning all rows of given Matrix into columns. On the other hand, by turning it's all columns into rows will also produce Transpose of the given Matrix.

 If A is a matrix, the Transpose of Matrix A denoted by A^T.

The following picture illustrate the process.

Let, initial matrix A has 3 rows and 4 columns. Then, the transpose of this matrix will have 4 rows and 3 columns.
More specifically, the Red link represents the 1st row of matrix A and 1st column of A^T. Green for 2nd and Blue for 3rd.