You can conjugate transpose a matrix by using the
' operator. That is
the entry in the
ith column and the
jth row will be
the complex conjugate of the entry in the
jth column and the
ith row of the original matrix.
We transpose the second vector to make matrix multiplication possible.
If you just want to transpose a matrix without conjugating it, you would
.' operator. For example:
Note that normal transpose, that is the
.' operator, is much faster
and will not create a new copy of the matrix in memory. The conjugate transpose does
create a new copy unfortunately.
It is recommended to always use the
.' operator when working with real
matrices and vectors.