According to the formal definition, a transformation (also known as a function) y(t) = T(x()) is linear if and only if T

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According To The Formal Definition A Transformation Also Known As A Function Y T T X Is Linear If And Only If T 1 (19.13 KiB) Viewed 67 times

According to the formal definition, a transformation (also known as a function) y(t) = T(x()) is linear if and only if T(axy(t) + bxz(t)) = at (x)) + bT(x()) = ay, (t) + byz(t) and is time-invariant if and only if for Vr 2 0 T(x(t-1)) = y(t-1) Using this definition, evaluate if the following functions are linear or not: 1. T(x) = e-t() 2. 7(x) = x(t) dx(1) 3. T(x) = t [6 marks) dt dat dr