In linear algebra, a complex square matrix U is unitary if its conjugate transpose U* is also its inverse, that is, if where I is the identity matrix.

What is unitary matrix example?

A complex conjugate of a number is the number with an equal real part and imaginary part, equal in magnitude, but opposite in sign. For example, the complex conjugate of X+iY is X-iY. If the conjugate transpose of a square matrix is equal to its inverse, then it is a unitary matrix.

What is a unitary complex matrix?

A unitary matrix is a complex square matrix whose columns (and rows) are orthonormal. It has the remarkable property that its inverse is equal to its conjugate transpose. A unitary matrix whose entries are all real numbers is said to be orthogonal.