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I have a symbolic matrix:

Potential = 
 SparseArray[{Band[{1, 1}] -> V0/2, Band[{2, 1}] -> V0/4, 
   Band[{1, 2}] -> V0/4}, {2*max + 1, 2*max + 1 }]

with max = 3 and V0 to be determined later, but it's a real number.

If I check HermitianMatrixQ[Potential] it returns False because it does not know that Conjugate[V0] = V0.

How can I set conditions on V0 to specify it's a real number?

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  • 2
    $\begingroup$ Check the docs of HermitianMatrixQ[], particularly the SameTest option. $\endgroup$ Commented Sep 28, 2018 at 16:54

1 Answer 1

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Simplify[ConjugateTranspose[Potential] == Potential, V0 ∈ Reals]

True

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