what is the transpose of a matrix
The transpose of a matrix is just a flipped version of
the original matrix. We can transpose a matrix by switching
its rows with its columns. The original rows become the new columns
and the original columns become the new rows.
We denote the transpose of matrix A by AT.
For example:
1 2 3 1 4 7
A = 4 5 6 then AT = 2 5 8
7 8 9 3 6 9
Similarly if
B = 1 2 3 then BT = 1 4
4 5 6 2 5
3 6