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Consider the linear transformation T : P1 ? R^3 given by T(ax + b) = [a+b...

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Advance Math

Consider the linear transformation T : P1 ? R^3 given by T(ax +b) = [a+b a?b 2a]

a) find the null space of T and a basis for it

(b) Is T one-to-one? Explain

(c) Determine if w = [?1 4 ?6] is in the range of T

(d) Find a basis for the range of T and its dimension

(e) Is T onto? Explain

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