Verify that the matrix `(1)/sqrt3[(1,1+i),(1-i,-1)]` is unitary, where `i=sqrt-1`

Explanation

Let `A=(1)/sqrt3[(1,1+i),(1-i,-1)], "then"" "A^(theta)=(barA')=(1)/sqrt3[(1,1+i),(1-i,-1)]`
` therefore" "A"A^(theta)=(1)/sqrt3[(1,1+i),(1-i,-1)] xx(1)/sqrt3[(1,1+i),(1-i,-1)]`
`=(1)/(3)[(3,0),(0,3)]=[(1,0),(0,1)]=I`
Hence , A is unitary matrix.