Question: (a) Show that U is a unitary matrix if and only if U-1 = U . (b) Show that the following matrices are unitary and

(a) Show that U is a unitary matrix if and only if U-1 = U€ .
(b) Show that the following matrices are unitary and compute their inverses:
(i)

1 12 2 12 1 G22 132i 1-12i -4 -2i 52-4 2i

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