ABSTRACT
The transpose of a matrix is obtained by interchanging the rows and the columns. Thus, the transpose of the matrix A is
′ =
⋅⋅ ⋅ ⋅
⋅ ⋅ ⋅ ⋅
⋅ ⋅ ⋅
⋅ ⋅ ⋅
⋅ ⋅ ⋅ ⋅
A
a a a
a a a
a a a
Also, the transpose of the vector c is c’ = (c1, c2, … , cm), and the transpose of the row vector r is the column vector r’.