Compute ø(25) for the homomorphism ø:Z→S, such that p(1)= (1,4,2,6)(2,5,7) (1,6)(4,7) O None of them O (1,3,6,7,8,2) O (1,5,7,2,3) O (1,4,2,5,7,6)
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- Suppose that SN = (0, 1] and let B, denote the collection of all sets of the form 2. (a1, b1] U (a2, b2] U..U (a, bu] where k EN is finite and 0 < ajPlease avoid using theorems that are uneccesarily advanced5). Let 21, 22 be fixed elements of a Banach space X, and l1, 2 E X'. Define A: X→ X by Ax = l₁(x)2₁ + 2(x) 22. Show that A is compact.In which of the listed semigroups with identity is the element a invertible and has finite order?9. (Harder) show that given any three distinct points 2₁, 22, 23 in the z-plane, and any three points w₁, W2, W3 in the w-plane, there exists a Möbius transformation sending z; → w; for each j = 1, 2, 3. Wj6.1 let T be a Lincar fransformation from R into R* suih that T(l,) = (,") and T(e,)= (-1,1). tind T(6,) and T(s,!) T(6,1) = T(-s,1) -Exercise 4.1.17. Suppose o, p : Z → G are homomorphisms such that o(1) = »(1). Prove o = y.f: CA, SA)→(8,S) be an order isomorphism and, Sa={xEA: x14. Let a + b) : a, b, c CF}. с a v-{(" V = 0 Construct an isomorphism from V to F³.Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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