The matrix is Hermitian and has a real-valued diagonal.

Test whether the matrix is symmetric.

tf = issymmetric(A)

tf = logical
0

The result is logical 0 (false) because A is not symmetric. In this case, A is equal to its complex conjugate transpose, A', but not its nonconjugate transpose, A.'.

Change the element in A(3,1) to be 1i.

A(3,1) = 1i;

Determine whether the modified matrix is symmetric.

tf = issymmetric(A)

tf = logical
1

The matrix, A, is now symmetric because it is equal to its nonconjugate transpose, A.'.

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