Let f: R → R³ be defined by f(x) = (7x, 7x, 2x). Is ƒ a linear transformation? a. f(x + y) f(x) + f(y): + Does f(x + y) = f(x) + f(y) for all x, y = R? choose b. f(cx) = c( f(x)) = Does f(cx) = c(f(x)) for all c, x € R? choose

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A: The given function is: L:P2→P2  such that:La0+a1x+a2x2=a1+2a2x

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Q: If v = (v1, v2) and T(v)=v except T(0, v2) = (0, 0) then T(v + u) = T(v) + T(u) showing that the…

A: Linear with respect to addition is given. We have to prove for scalar multiplication.