The operation "*" is defined on R by a*b= 11ab 19 for all a,b € R. Which of the following is true about the operation? OA The operation obeys the law of the inverse and the inverse of a € R is a¹ = 361 121a OB. 11 The operation obeys the law of inverse and the inverse of a is a -¹ = 19a OC. The operation does not obey the law of the inverse. OD. The operation obeys the law of inverse and the inverse of is a-¹_—.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
11ab
The operation "*" is defined on R by a*b =
19
for all a,b € R. Which of the following is true about the operation?
361
The operation obeys the law of the inverse and the inverse of a ER İS a -¹ =
121a
OB.
11
The operation obeys the law of inverse and the inverse of a is a -¹ =
19a
OC. The operation does not obey the law of the inverse.
O D.
The operation obeys the law of inverse and the inverse of is
a-¹-
a
Transcribed Image Text:11ab The operation "*" is defined on R by a*b = 19 for all a,b € R. Which of the following is true about the operation? 361 The operation obeys the law of the inverse and the inverse of a ER İS a -¹ = 121a OB. 11 The operation obeys the law of inverse and the inverse of a is a -¹ = 19a OC. The operation does not obey the law of the inverse. O D. The operation obeys the law of inverse and the inverse of is a-¹- a
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