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Given two unitary matrices Q1, Q2 and suppose det(Q1) = -det(Q2). Show that matrix Q =...

Given two unitary matrices Q1, Q2 and suppose det(Q1) = -det(Q2).

Show that matrix Q = Q1 + Q2 is singular. hint: consider Q* = Q1*(Q2 + Q1)Q2* and det(Q) .

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