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A unitary matrix is an invertible complex square matrix that satisfies U*U = I, where U* is the conjugate transpose of U. Learn about its properties, equivalent conditions, elementary constructions, and applications in quantum mechanics.
Learn what a unitary matrix is, how to identify it, and how to perform operations with it. A unitary matrix is a square matrix of complex numbers whose inverse is its conjugate transpose, and whose columns and rows are orthonormal.
3 Ιουν 2024 · A unitary matrix is a square matrix of complex numbers that satisfies UUH = I, where U and UH are the matrix and its conjugate transpose. Learn the definition, properties and examples of unitary matrices, and how to prove that a matrix is unitary.
28 Οκτ 2024 · A unitary matrix is a square matrix that satisfies , where denotes the conjugate transpose and is the inverse. Learn about the properties, applications and examples of unitary matrices, and how they form a group called the unitary group.
A unitary matrix is a complex square matrix whose columns and rows are orthonormal and whose inverse is its conjugate transpose. Learn how to recognize, manipulate and use unitary matrices and their real counterparts, orthogonal matrices, with proofs and exercises.
Learn what a unitary matrix is, a complex matrix that satisfies a condition involving its conjugate transpose and the identity matrix. See examples of 2x2 and diagonal unitary matrices and their properties, such as being normal, diagonalizable and having determinant of 1.
Learn about unitary matrices, their properties, and their applications in mathematics and physics. Find chapters and articles from various books and journals on unitary matrices and related topics.
