Let R be the set of real num bers and let {C: ]: ae R\ {o} a be R}. : a € R\ {0} ^ be O Show that the mapping M: RXG→ R defined by I (x,A) = ax+b represents an action on R. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This question is of group theory
Let
R be the Sset of real num bers and let
{1:
}18 2]: a€ R\ {0} ^ be R
a E
%3D
O defined by
Show that the mapping M: R x G → R
TI (2,A) = ax +b represents an action on R.
%3D
Transcribed Image Text:Let R be the Sset of real num bers and let {1: }18 2]: a€ R\ {0} ^ be R a E %3D O defined by Show that the mapping M: R x G → R TI (2,A) = ax +b represents an action on R. %3D
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