What is an unitary matrix and what are its characteristics?

[masadi]

unitary matrix example

i wanna know what unitary matrix is and what conditions have to be met so a matrix called unitary matrix

thanxs

 

[v_naren]

Re: unitary matrix

A square matrix U is a unitary matrix if

\[U^H=U^{-1}\]

where \[U^H\] denotes the conjugate transpose and \[U^{-1}\] is the matrix inverse.

For example
\[\begin{pmatrix}2^{-1/2}&2^{-1/2}&0 \\-2^{-1/2}i& 2^{-1/2}i&0\\0&0&i\\\end{pmatrix}\]

 

[maple]

Re: unitary matrix

if a matrix's conjugate transpose is equal to its inverse, then the matrix is unitary matrix.

 

[cedance]

Re: unitary matrix

for more info see this link..



hope this helps...

/Am