It looks like that's part of the definition of a unitary matrix. See related link, below.
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It is the conjugate transpose of the matrix. Of course the conjugate parts only matters with complex entries. So here is a definition:A unitary matrix is a square matrix U whose entries are complex numbers and whose inverse is equal to its conjugate transpose U*. This means thatU*U = UU* = I. Where I is the identity matrix.
4-5% only know about complex numbers...
a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.a2 + b2 cannot be factorised in real numbers, only in complex numbers. The fact that you ask this question indicates that you are nowhere near old enough to be studying complex numbers.
No difference. The set of complex numbers includes the set of imaginary numbers.
Only two real numbers but infinitely many complex numbers.