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Question Number 54952 by gunawan last updated on 15/Feb/19

If  T : C→C  is linear transformation  and x ∈ C, then T(x)=...

$$\mathrm{If}\:\:{T}\::\:\mathbb{C}\rightarrow\mathbb{C}\:\:\mathrm{is}\:\mathrm{linear}\:\mathrm{transformation} \\ $$$$\mathrm{and}\:{x}\:\in\:\mathbb{C},\:\mathrm{then}\:{T}\left({x}\right)=... \\ $$

Commented by kaivan.ahmadi last updated on 15/Feb/19

let x=ai+b then  T(x)=T(ai+b)=T(ai)+T(b)=  aT(i)+T(b)

$${let}\:{x}={ai}+{b}\:{then} \\ $$$${T}\left({x}\right)={T}\left({ai}+{b}\right)={T}\left({ai}\right)+{T}\left({b}\right)= \\ $$$${aT}\left({i}\right)+{T}\left({b}\right) \\ $$

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