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What is an unitary matrix and what are its characteristics?

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unitary matrix example

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

thanxs
 

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
\[\begin{pmatrix}2^{-1/2}&2^{-1/2}&0 \\-2^{-1/2}i& 2^{-1/2}i&0\\0&0&i\\\end{pmatrix}\]
 
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Re: unitary matrix

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

Re: unitary matrix

for more info see this link..



hope this helps...

/Am
 

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