Let-x-1-x-2-x-3-the-number-real-x-1-lt-x-2-lt-x-3-T-P-2-R-3-defined-with-rule-T-P-x-1-P-x-2-P-x-3-for-all-P-x-P-2-a-Prove-that-T-form-linear-transformation-b-

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

Let x_{1}, x_{2}, x_{3} the number real

x_{1} < x_{2} < x_{3} . T : P_{2} \to R^{3} defined

with rule T = [\begin{matrix} P (x_{1}) \\ P (x_{2}) \\ P (x_{3}) \end{matrix}]

for all P (x) \in P_{2}

a) P rove that T form linear transformation

b) check whether T bijektive

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

c a n y o u d e f i n e P ?

Commented by gunawan last updated on 15/Feb/19

P is Polynomial

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