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According to the formal definition, a transformation (also known as afunction) y(t) = T(x(t)) is...

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According to the formal definition, a transformation (also known as afunction) y(t) = T(x(t)) is linear if and only ifT(ax? (t) + bx?(t)) = aT (x?(t))+ bT(x?(t)) = ay? (t) + by?(t)and is time-invariant if and only if for Vr 20T(x(t-1)) = y(t-t)Using this definition, evaluate if the following functions are linear or not:1. T(x) = e-tx(t)2. T(x)= x(t) dx(t)dtdx(t)3. T(x)= t- dt[6 marks

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