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If (a*b=e) and (b*a=e), where (e) is the identity element, what is (b) called for (a)?यदि (a*b=e) और (b*a=e), जहाँ (e) तत्समक अवयव है, तो (b) को (a) का क्या कहा जाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Inverse elementप्रतिलोम अवयव
Step 1: An inverse is an element that combines with (a) to give the identity. Step 2: Here (a*b=e) and (b*a=e), so (b) is the inverse. Step 3: Always understand inverse with respect to an identity element.चरण 1: प्रतिलोम वह तत्व है जो (a) के साथ संक्रिया करके तत्समक दे। चरण 2: यहाँ (a*b=e) और (b*a=e), इसलिए (b) प्रतिलोम है। चरण 3: प्रतिलोम हमेशा किसी तत्समक अवयव के संदर्भ में समझें।
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