Conjugate transpose of a complex-valued matrix:

Enter using ct:

Conjugate transpose a sparse array:

The conjugate transpose is sparse:

ConjugateTranspose works for symbolic matrices:

ComplexExpand assumes all variables are real:

ConjugateTranspose works similarly to Transpose for tensors:

Conjugate and transpose the first two dimensions:

Conjugate and transpose the first and third dimensions:

is a random complex matrix:

Find the QRDecomposition of :

is unitary, so its inverse is

Reconstruct from the decomposition:

ConjugateTranspose[m] is equivalent to Conjugate[Transpose[m]]:

The product of a matrix and its conjugate transpose is Hermitian:

is the matrix product of and :

so is Hermitian: