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unitary matrix

 
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masadi



Joined: 02 Dec 2004
Posts: 74
Helped: 8
Post22 Dec 2004 6:50   unitary matrix
i wanna know what unitary matrix is and what conditions have to be met so a matrix called unitary matrix

thanxs
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v_naren
Guest
Post22 Dec 2004 15:58   Re: unitary matrix
A square matrix U is a unitary matrix if

3$U^H=U^{-1}

where 3$U^H denotes the conjugate transpose and 3$U^{-1} is the matrix inverse.

For example
3$\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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maple



Joined: 27 Sep 2003
Posts: 104
Post24 Dec 2004 10:06   Re: unitary matrix
if a matrix's conjugate transpose is equal to its inverse, then the matrix is unitary matrix.
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cedance



Joined: 24 Oct 2003
Posts: 704
Helped: 28
Location: Germany
Post24 Dec 2004 18:14   Re: unitary matrix
for more info see this link..

http://www.edaboard.com/viewtopic.php?t=65689&highlight=matrix

hope this helps...

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