MatrixUnitary Matrix
Unitary Matrix is a special kind of complex square matrix which has following properties. (U in the following description represents a unitary matrix)
 U*U = UU* = I (U* is the conjugate transpose of the matrix U)
 det(U) = 1 (It means that this matrix does not have scaling properties, but it can have rotating property)
 Eigenspaces of U are orthogonal
 U is diagonalizable
 U* is unitary
 U is invertible and the inverse of U is U*
 The columns of U forms an orthnomal basis
 The rows of U forms an orthnomal basis
 The eigenvalues of U lies on the unit circle and they are normal to each other
