Exercise 15.3.10. (a) Suppose a, b € C*, where a = 4 + 3i and b = 5 - 12i. What is (ab)-¹2 What is (ba)-¹? (b) Suppose a, b = G, where G is the group defined by the set S= R\{-1} and the binary operation a b = a + b + ab. If a = 10, b = 1, what is (ab)-¹? What is (ba)-¹? (c) Suppose σ,7 € S6, where a = (3456), 7 = (1625). What is (oT)-¹? What is (TO)-¹? (d) Consider the group U(5). What is (4-3)-¹? What is (3-4)-¹? (e) Suppose a, b € GL₂(R), where -2 a - (23) and b What is (ab)-¹? What is (ba)-¹?
Exercise 15.3.10. (a) Suppose a, b € C*, where a = 4 + 3i and b = 5 - 12i. What is (ab)-¹2 What is (ba)-¹? (b) Suppose a, b = G, where G is the group defined by the set S= R\{-1} and the binary operation a b = a + b + ab. If a = 10, b = 1, what is (ab)-¹? What is (ba)-¹? (c) Suppose σ,7 € S6, where a = (3456), 7 = (1625). What is (oT)-¹? What is (TO)-¹? (d) Consider the group U(5). What is (4-3)-¹? What is (3-4)-¹? (e) Suppose a, b € GL₂(R), where -2 a - (23) and b What is (ab)-¹? What is (ba)-¹?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Exercise 15.3.10.
(a) Suppose a, b € C*, where a = 4 + 3i and b = 5 - 12i. What is (ab)-¹2
What is (ba)-¹?
(b) Suppose a, b = G, where G is the group defined by the set S= R\{-1}
and the binary operation a b = a + b + ab. If a = 10, b = 1, what is
(ab)-¹? What is (ba)-¹?
(c) Suppose σ,7 € S6, where a = (3456), 7 = (1625). What is (oT)-¹?
What is (TO)-¹?
(d) Consider the group U(5). What is (4-3)-¹? What is (3-4)-¹?
(e) Suppose a, b € GL₂(R), where
-2
a
- (23)
and b
What is (ab)-¹? What is (ba)-¹?
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