Dec 22, 2004 #1 M masadi Member level 4 Joined Dec 2, 2004 Messages 70 Helped 8 Reputation 16 Reaction score 0 Trophy points 1,286 Activity points 612 unitary matrix example i wanna know what unitary matrix is and what conditions have to be met so a matrix called unitary matrix thanxs
unitary matrix example i wanna know what unitary matrix is and what conditions have to be met so a matrix called unitary matrix thanxs
Dec 22, 2004 #2 V v_naren Guest 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 \[\begin{pmatrix}2^{-1/2}&2^{-1/2}&0 \\-2^{-1/2}i& 2^{-1/2}i&0\\0&0&i\\\end{pmatrix}\] Last edited: Aug 27, 2010
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 \[\begin{pmatrix}2^{-1/2}&2^{-1/2}&0 \\-2^{-1/2}i& 2^{-1/2}i&0\\0&0&i\\\end{pmatrix}\]
Dec 24, 2004 #3 M maple Member level 5 Joined Sep 27, 2003 Messages 91 Helped 1 Reputation 2 Reaction score 1 Trophy points 1,288 Activity points 593 Re: unitary matrix if a matrix's conjugate transpose is equal to its inverse, then the matrix is unitary matrix.
Re: unitary matrix if a matrix's conjugate transpose is equal to its inverse, then the matrix is unitary matrix.
Dec 24, 2004 #4 cedance Advanced Member level 2 Joined Oct 24, 2003 Messages 551 Helped 30 Reputation 60 Reaction score 7 Trophy points 1,298 Location Germany Activity points 4,622 Re: unitary matrix for more info see this link.. hope this helps... /Am