MATH 203 Midterm: MATH203 CofC math203fa09
15 Feb 2019
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No calculators, notes, books, or any outside materials. Unless otherwise indicated, supporting work will be required on every problem; one-word answers or answers which simply restate the question will receive no credit. Let h be the set a b c. Let d denote the set {t2, t(t 1), (t 1)(t 2), t(t 2)} of four polynomials in. If a set of ve vectors {v1, v2, . Prove that the transformation t is linear. c (8 pts). Let b denote the basis {1, t, t2} for ip2 and let c denote the standard basis. Find the matrix of t relative to the bases b and c. d (6 pts). Find a polynomial p(t) (other than 0) which is in the kernel of t . Include in your answer an explanation of what it means for p(t) to belong to the kernel of t : suppose. 1 and x = x1 x2 x3 x4. Write your solution in parametric vector form. x1.
