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If (a\ast b=2a+b), is the operation commutative?यदि (a\ast b=2a+b), तो क्या यह क्रिया क्रमविनिमेय है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: No, not generallyनहीं, सामान्यतः नहीं
Step 1: For commutativity, (a\ast b=b\ast a) must hold. Step 2: (a\ast b=2a+b), while (b\ast a=2b+a), which are not generally equal. Step 3: A simple example like (a=1,b=2) checks this quickly.चरण 1: क्रमविनिमेयता के लिए (a\ast b=b\ast a) होना चाहिए। चरण 2: (a\ast b=2a+b), जबकि (b\ast a=2b+a)। ये सामान्यतः बराबर नहीं होते। चरण 3: एक सरल उदाहरण, जैसे (a=1,b=2), जल्दी जांच देता है।
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