Question: Consider the following linear transformation. - T: P2 R2 defined by T(p(x)) = p(0) P(3) Find the nullity of T. nullity (7)= = Determine

Consider the following linear transformation. - T: P2 R2 defined by T(p(x))

Consider the following linear transformation. - T: P2 R2 defined by T(p(x)) = p(0) P(3) Find the nullity of T. nullity (7)= = Determine if the linear transformation is one-to-one. O one-to-one O not one-to-one Determine if the linear transformation is onto. Onto, because the range of T is exactly the codomain. O Onto, because T is one-to-one and the kernel is trivial. Not onto, because T is not one-to-one and the domain and codomain have the different dimer Not onto, because T is not one-to-one and the kernel is nontrivial.

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