Uncommon

Unitary matrix

Complex matrix whose conjugate transpose equals its inverse

Unitary matrix

Uncommon card · No. 149435

In linear algebra, an invertible complex square matrix U is unitary if its matrix inverse U−1 equals its conjugate transpose U*, that is, if U ∗ U = U U ∗ = I , {\displaystyle U^{*}U=UU^{*}=I,} where I is the identity matrix. In physics, especially in quantum mechanics, the conjugate transpose is referred to as the Hermitian adjoint of a matrix and is denoted by a dagger (⁠ † {\displaystyle \dagger } ⁠), so the equation above is written U † U = U U † = I . {\displaystyle U^{\dagger }U=UU^{\dagger }=I.} A complex matrix U is special unitary...

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