Consider a pair of complex-valued signals s₁ (t) and s₂ (t) that are respectively represented by s₁ (t) = a₁₁ ?₁ (t) + a₁₂ ?_2?(t), ? ? 2 (t) = a₂₁ ?₁ (t) + a₂₂ ?_2?(t), ? ? 1 (t) and ?₂ (t) are both real valued, but the coefficients a₁₁, a₁₂, a₂₁, and a₂₂ are complex valued. Prove the complex form of the Schwarz inequality, where the asterisk denotes complex conjugation. When is this relation satisfied with the equality sign?

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s2{t)|*dt $1(?)s(t)dt