What is the difference between .' and ' when transposing a matrix?

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Tianyi Zhang
Tianyi Zhang 2018-5-4
评论： Ron Fredericks 2020-12-9
I am new to MatLab, and when I try to transpose a matrix , it seems that using .' and ' produce the same effect. For matrix a, for example, I can do
a.'
a'
and they produce the same result. Is there a difference between these two?

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Star Strider
Star Strider 2018-5-4
They produce the same result only for real values. The ‘regular’ transpose operator (') produces a complex-conjugate transpose for complex numbers. With the dot operator (.') it produces the transpose without performing the complex-conjugate operation.
Note: This is the only operation (that I am aware of) where the dot-operator does not signify element-wise operations, as it does with multiplication, division, and exponentiation.
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Ron Fredericks
Ron Fredericks 2020-12-9
Thank you Star Strider.
For scalar, vector, matrix with complex numbers:
transpose(A) and A.' produce nonconjugate transpose of A
ctranspose(A) and A' produce complex conjugate transpose of A (a.k.a. Hermitian transpose)
For real number scalar, vector, matrix both methods are equivalent

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Geoff Hayes
Geoff Hayes 2018-5-4
Tianyi - according to MATLAB operators and special characters,
.' performs a matrix transpose
' performs a complex conjugate transpose
And so you would only notice a difference if your a is complex (or an array of complex elements).
dpb
dpb 2018-5-4
编辑：dpb 2018-5-4
doc punct % Concise description of all Matlab punctuation-symbols syntax
doc transpose
doc ctranspose
for the two specific operators. (It's certainly a pit(proverbial)a(ppendage) for newcomers that neither of
help .'
doc .'
return the information requested. One would think TMW would have fixed that in 40 yr or so... :(
In general I suggest starting with the "Getting Started" tutorial lessons at
doc
and work your way through the early portions--it'll make the entry much faster if you do than if not...

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