I know how to find the transpose matrix in case of ($2 \times 2$) dimension But I get confused when i try to find Transpose matrix incase of $(3 \times 3)$ dimension .Because i cant apply rule of ($2 \times 2$)to ($3 \times 3$).
Let $$A = \left[\begin{matrix} 1& 2 & 3\\ 7 & 9 & 8\\ 5& 6 & 7 \end{matrix}\right]$$
How to find the transpose matrix of A ?
To find the transpose of a matrix - we have that the rows of the matrix become columns.
So here, we have $$A^T=\left[\begin{matrix} 1& 7 & 5\\ 2 & 9 & 6\\ 3& 8 & 7 \end{matrix}\right].$$