Question: 2. [10 marks] Consider the transformation T : P2 (R) > II:2 where T{p) = [12(0), p(3)) for p E P2 (R). [a] Show that

2. [10 marks] Consider the transformation T : P2 (R) > II":2 where T{p) = [12(0), p(3)) for p E P2 (R). [a] Show that T is a. linear transformation. (b) Find a. basis for the kernel of T (Null T}. ((1) Determine the nullity and rank of T. (d) Determine a basis for the range of T

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