Show that the matrix A is unitary where A = `[[alpha+igamma,-beta+idel],[beta+idel,alpha-igamma]]` is unitary if `alpha^2+beta^2+gamma^2+del^2=1`
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Solution
Given, A is Unitary
Consider,
Similarlly,
Substituting (2),(3),(4)&(5) in (1),
Comparing corresponding terms, we get,
unitary if `alpha^2+beta^2+gamma^2+del^2=1`
Concept: Inverse of a Matrix
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