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let (R₂ *) be a mathematical system * is defined as: FabER where axb=atbab prove that: □ is commutative and associative * has an identity [3] find all invertable element, if any. VXER. 2 14] set x n = X*X** (NEN) Show that X` = 1-(1-x) and x² =1-(1-x)² also conjaetaure the general fare form for xn and prove it by Induction therom.

let (R₂ *) be a mathematical system * is defined as: FabER where axb=atbab prove that: □ is commutative and associative * has an identity [3] find all invertable element, if any. VXER. 2 14] set x n = X*X** (NEN) Show that X` = 1-(1-x) and x² =1-(1-x)² also conjaetaure the general fare form for xn and prove it by Induction therom.

Advanced Engineering Mathematics
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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let (R, *) be where a mathematical system HABER 2 131 * is defined as prove that: [ * is commutative and associative. * has an identity find all invertable element, if any. VXER. a+b=a+b - ab 14 set x = X*X** (NEN) Show that X` = 1 (1-x) and x² =1-(1-x)² also conjaetaure the general fete form for xn and prove it by A Incluction therom.
Transcribed Image Text:let (R, *) be where a mathematical system HABER 2 131 * is defined as prove that: [ * is commutative and associative. * has an identity find all invertable element, if any. VXER. a+b=a+b - ab 14 set x = X*X** (NEN) Show that X` = 1 (1-x) and x² =1-(1-x)² also conjaetaure the general fete form for xn and prove it by A Incluction therom.
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