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Question Number 54967 by gunawan last updated on 15/Feb/19

$$\mathrm{Let}{x}_1,x_2,x_3\mathrm{the}\mathrm{number}\mathrm{real}$$ $$x_1<x_2<x_3.T:P_2\to R^3\mathrm{defined}$$ $$\mathrm{with}\mathrm{rule}T=\left[\begin{array}{c}P\left(x_1\right)\\ P\left(x_2\right)\\ P\left(x_3\right)\end{array}\right]$$ $$\mathrm{for}\mathrm{all}\mathrm{P}\left(x\right)\in P_2$$ $$a)P\mathrm{rove}\mathrm{that}T\mathrm{form}\mathrm{linear}\mathrm{transformation}$$ $$\mathrm{b})\mathrm{check}\mathrm{whether}T\mathrm{bijektive}$$

Commented bykaivan.ahmadi last updated on 15/Feb/19

$$canyoudefineP?$$

Commented bygunawan last updated on 15/Feb/19

$$P\mathrm{is}\mathrm{Polynomial}$$

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