Question: Given two unitary matrices Q 1 , Q 2 R mm and suppose det(Q 1 ) = det(Q 2 ). Show that matrix Q =

Given two unitary matrices Q1, Q2 Rmm and suppose det(Q1) = det(Q2). Show that matrix Q = Q1 + Q2 is singular. hint: consider Q = Q*1 (Q2 + Q1)Q2 and det(Q) .

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