Assignment: Transposing a matrix is the process by which each element swaps its column and row number. For example

$\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$ When transposed becomes: $\left[\begin{array}{ccc}1& 4& 7\\ 2& 5& 8\\ 3& 6& 9\end{array}\right].$

Given a square $2-$dimensional int array named matrix, and an int variable called $n,$ that has already been declared and assigned to the size of the matrix, modify the matrix in place to obtain the

transposed matrix.