TRANSPOSE == (.')
CTRANSPOSE == (')
Below is the help text for each of these which explains the difference.
They both have the same meaning for real matrices.

>> help transpose
.' Transpose.
X.' is the non-conjugate transpose.
B = TRANSPOSE(A) is called for the syntax A.' when A is an object.
See also CTRANSPOSE, PERMUTE.
Reference page in Doc Center
doc transpose
Other functions named transpose
categorical/transpose gpuArray/transpose sym/transpose
codistributed/transpose

>> help ctranspose
' Complex conjugate transpose.
X' is the complex conjugate transpose of X.

B = CTRANSPOSE(A) is called for the syntax A' (complex conjugate
transpose) when A is an object.
See also TRANSPOSE.
Reference page in Doc Center
doc ctranspose
Other functions named ctranspose
categorical/ctranspose instrument/ctranspose
codistributed/ctranspose serial/ctranspose
gpuArray/ctranspose sym/ctranspose
imaqchild/ctranspose timer/ctranspose
imaqdevice/ctranspose

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