i'd be happy with any assistance.

Let T be a linear operator on a complex inner product space V .

Prove that if T is Hermitian, then ⟨T (x), x⟩ is real for all x ∈ V .

also, Prove theat if ⟨T (x), x⟩ is real for all x ∈ V , then T is Hermitian.

thank u!