Unitary matrices: Difference between revisions
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(New page: A '''unitary matrix''' is a complex matrix <math>U</math> satisfying the condition :<math>U^\dagger U = UU^\dagger = I_n\,</math> where <math>I</math> is the identity matrix...) |
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Revision as of 12:12, 11 February 2008
A unitary matrix is a complex matrix satisfying the condition
where is the identity matrix and is the conjugate transpose (also called the Hermitian adjoint) of . Note this condition says that a matrix is unitary if and only if it has an inverse which is equal to its conjugate transpose
A unitary matrix in which all entries are real is called an orthogonal matrix.