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  3. 4 let a b e r with ab and let...

Question: 4 let a b e r with ab and let...

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4. Let a, b E R. with aメb, and let V C P,(R) be the linear subspace of all polynomials that vanish at a and b, ie. V = {/c P(R) I f(a) = f(b) = 0). (a) Define the nullspace N(T), where T : P,(R) → R2 is some arbitrary linear trans- 141 (b) Determine the dimension of V. (Hint: Use part (a) of this question and the formation rank-nullity/dimension theorem)
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