ctranspose

Complex conjugate transpose

Usage

ctranspose(A)

• A should be a numeric matrix, a character matrix, or a structure matrix. It does not work with A having more than 2 dimensions, i.e., ndims(A) > 2.
• It returns the complex conjugate transpose of a matrix A.
• It gives the same matrix as using the transpose operator ', i.e., A'.
• For non-conjugate transpose, use transpose(A) or A.' instead.
• If A is not complex, it gives the same matrix as transpose(A) or A'.

Example

• Conjugate and non-conjugate transposes of a complex matrix.

Input

A = complex(rand(2,3), rand(2,3))
% Conjugate transposes
ctranspose(A)
A'
% Non-conjugate transposes
transpose(A)
A.'

Output

A = 1e-1 × 
 0.8057+0.5533i   7.8336+5.9435i   7.4668+9.0741i
 1.9300+7.0959i   0.4409+3.9925i   5.8817+5.2582i

ans = 1e-1 × 
 0.8057-0.5533i   1.9300-7.0959i
 7.8336-5.9435i   0.4409-3.9925i
 7.4668-9.0741i   5.8817-5.2582i

ans = 1e-1 × 
 0.8057-0.5533i   1.9300-7.0959i
 7.8336-5.9435i   0.4409-3.9925i
 7.4668-9.0741i   5.8817-5.2582i

ans = 1e-1 × 
 0.8057+0.5533i   1.9300+7.0959i
 7.8336+5.9435i   0.4409+3.9925i
 7.4668+9.0741i   5.8817+5.2582i

ans = 1e-1 × 
 0.8057+0.5533i   1.9300+7.0959i
 7.8336+5.9435i   0.4409+3.9925i
 7.4668+9.0741i   5.8817+5.2582i

• Conjugate transpose of a real matrix.

Input

A = rand(2,3)
% Conjugate and non-conjugate transposes
% of a real matrix are the same
ctranspose(A)
transpose(A)

Output

A = 1e-1 × 
 9.6423   8.7792   4.2228
 7.3626   4.2443   1.4160

ans = 1e-1 × 
 9.6423   7.3626
 8.7792   4.2443
 4.2228   1.4160

ans = 1e-1 × 
 9.6423   7.3626
 8.7792   4.2443
 4.2228   1.4160

• Conjugate transpose of a character matrix.

Input

c = ['chars 😃✌🏻'; 'vector❤️💕']
ctranspose(c)

Output

c = 
chars 😃✌🏻
vector❤️💕

ans = 
cv
he
ac
rt
so
 r
😃❤️
✌🏻💕