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# Show that the Matrix a is Unitary Where a = [ α + I γ − β + L β + L α − I γ ] is Unitary If α 2 + β 2 + γ 2 + ∂ 2 = 1 - Applied Mathematics 1

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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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