Unformatted text preview: + a b a a b b b a · a b a a a b a b (1) Prove that S a ﬁeld under the the addition “+” and multiplication “ · ” deﬁned above by verifying F1F5 on Page 553. (2) Identify the elements of S that are “0”, “1” and “1”. 3. Let F be the set of all polynomials. Is F a ﬁeld with the standard addition and multiplication? State your reason. 4. Probelm 13 on Page 15. 5. Probelm 18 on Page 15. 6. Problem 21 on Page 16. 7. Problem 8 (b), (d) and (f) on Page 20. 1...
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 Summer '08
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 Linear Algebra, Algebra, Complex Numbers, standard addition, advanced linear algebra

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