Question: Show that the most general form for (2 times 2) unitary matrices of unit determinant is where (a) and (b) are complex numbers. U =

Show that the most general form for $2 \times 2$ unitary matrices of unit determinant is

U = a |a|2 + |b| = 1, -b a

where $a$ and $b$ are complex numbers.

U = a |a|2 + |b| = 1, -b a

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