1. Write each of the following explicitly. (a) {1} x {1, 2} x {1,2,3} (b) x {1,2} (c) 2{1,2} x {1,2} X 2. Let R {(a, b), (a, c), (c, d), (a, a), (b, a)}. What is Ro R, the composition of R with itself? What is R¹, the inverse of R? Is R, Ro R, or R-¹ a function?
1. Write each of the following explicitly. (a) {1} x {1, 2} x {1,2,3} (b) x {1,2} (c) 2{1,2} x {1,2} X 2. Let R {(a, b), (a, c), (c, d), (a, a), (b, a)}. What is Ro R, the composition of R with itself? What is R¹, the inverse of R? Is R, Ro R, or R-¹ a function?
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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Refer to image and please explain each part in detail!
Transcribed Image Text:1.2.1. Write each of the following explicitly.
(a) {1} × {1,2} × {1,2,3}
(b) Ø x {1,2}
(c) 2{1,2}x{1,2}
1.2.2. Let R
{(a, b), (a, c), (c, d), (a, a),(b, a)}. What is Ro R, the composition
of R with itself? What is R-¹, the inverse of R? Is R, Ro R, or R-¹ a
function?
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