Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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e Edit View History Bookmarks Profiles Tab Window Help
en HW 4
fiu.instructure.com
work 4 (Fall 21).pdf
30%
F2
X
#3
#
Problem 4.
Let R₁ = {(a, b) E P²: a divides b} and R₂ = {(a, b) E P²: a is a multiple of b} where P is
the set of positive integer numbers. Find
a) R₁ UR₂
b) R₁NR₂
c) R₁ R₂
d) R₂\R₁
Module 4 Discussion X
SEP
12
Problem 5.
a) Prove that the relation R on a set A is symmetric if and only if R = R-¹, where R-¹ is
the inverse relation of R.
b) Prove that the relation R on a set A is antisymmetric if and only if R n R-¹ is subset of
the relation A= {(a, a) | a € A}.
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Transcribed Image Text:e Edit View History Bookmarks Profiles Tab Window Help en HW 4 fiu.instructure.com work 4 (Fall 21).pdf 30% F2 X #3 # Problem 4. Let R₁ = {(a, b) E P²: a divides b} and R₂ = {(a, b) E P²: a is a multiple of b} where P is the set of positive integer numbers. Find a) R₁ UR₂ b) R₁NR₂ c) R₁ R₂ d) R₂\R₁ Module 4 Discussion X SEP 12 Problem 5. a) Prove that the relation R on a set A is symmetric if and only if R = R-¹, where R-¹ is the inverse relation of R. b) Prove that the relation R on a set A is antisymmetric if and only if R n R-¹ is subset of the relation A= {(a, a) | a € A}. 20 F3 $ 4 000 DOO F4 % 5 Module 4 Discussion X S F5 ^ 6 MacBook Pro F6 87 & Module 4 Discussion X ◄◄ F7 * 8 ► 11 F8 tv Module 4 Discussion ►► 9 ( F9 2 Mon 8: W 1 U ZOOM F10
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