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Weba = b , x = b ⇒ a+x = 0 a = c , x = c ⇒ a+x = 0 , so Axiom (5) is also verified. 3.1.4. Let F = {0,e,a,b} with addition and multiplication defined by the tables below: + 0 e a b · 0 e a b 0 0 e a b 0 0 0 0 0 e e 0 b a e 0 e a b a a b 0 e a 0 a b e b b a e 0 b 0 b e a Assume distributivity and associativity and show that R is a field. Web5 Theorem3.8. Let R be a ring with identityand a;b 2 R.Ifais a unit, then the equations ax = b and ya=b have unique solutions in R. Proof. x = a−1b and y = ba−1 are solutions: check! Uniqueness works as in Theorem 3.7, using the inverse for cancellation: ifz is another solution to ax = b,thenaz = b = a(a−1b). Multiply on the left by a−1 to get z = a−1az = … WebIf the GPP of a grassland is 5000 kcal/m2/year and 55 percent is used up by cellular respiration, what is the NPP? a. 2250 kcal/m2/year b. 2750 kcal/m2/year c. 5000 kcal/m2/year d. need more data tsy ampy fitia