 Solution

ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2017-resit/10/a/ii/1/solution

A^{T} = A

, without conjugation. One invertible example with nonreal off-diagonal entries is

A = (1 i i 2), det A = 3.

It is symmetric but not Hermitian, illustrating the importance of the distinction over

C

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