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

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

Expert Solution

Colby Messinger answered 11 months ago

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