Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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1.3 In each case, determine whether or not the given is a binary operation on the
given set S.
a) S=Z, a b=a+ b²
b) S=Z, a b=a²b³
c) S=R, a.b=.
a
a² +6²
a²+ 2ab + b²
a+b
d) S-Z, a b=
e) S-Z, a+b=a+b-ab
f) S-R, a b=b
g) S={1,2,3,2,-4), a+b= |b|
h) S (1,6,3,2, 18), a+b=ab.
i) S-the set of all 2x2 matrices with real entries, and if
--(32)
b=(1/7).
then
a+b=
and b=
·ritrs 1₂+16)
j) Sthe set of all subsets of a set X, A.B=(AB) AB.
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Transcribed Image Text:1.3 In each case, determine whether or not the given is a binary operation on the given set S. a) S=Z, a b=a+ b² b) S=Z, a b=a²b³ c) S=R, a.b=. a a² +6² a²+ 2ab + b² a+b d) S-Z, a b= e) S-Z, a+b=a+b-ab f) S-R, a b=b g) S={1,2,3,2,-4), a+b= |b| h) S (1,6,3,2, 18), a+b=ab. i) S-the set of all 2x2 matrices with real entries, and if --(32) b=(1/7). then a+b= and b= ·ritrs 1₂+16) j) Sthe set of all subsets of a set X, A.B=(AB) AB.
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