Definition 3  If A = [aij] be an m × n matrix, then the matrix obtained by interchanging
the rows and columns of A is called the transpose of A Transpose of the matrix A is
denoted by A′ or (AT) In other words, if A = [aij]m × n, then A′ = [aji]n × m For example,
if 
2
3
3
2
3
5
3
3
0
A
3
1
, then A
1
5
1
0
1
5
5
×
×








=
′ =


−






−






3