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If (R={(1,2),(2,4),(4,1)}), what is (R^{-1})?यदि (R={(1,2),(2,4),(4,1)}), तो (R^{-1}) कौन सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({(2,1),(4,2),(1,4)})({(2,1),(4,2),(1,4)})
Step 1: In the inverse relation, the two entries of each pair are interchanged. Step 2: ((1,2)), ((2,4)), and ((4,1)) become ((2,1)), ((4,2)), and ((1,4)). Step 3: While finding inverse, reverse entries inside each pair.चरण 1: विलोम संबंध में हर युग्म के दोनों स्थान बदलते हैं। चरण 2: ((1,2)), ((2,4)), ((4,1)) क्रमशः ((2,1)), ((4,2)), ((1,4)) बनते हैं। चरण 3: विलोम निकालते समय युग्मों का क्रम नहीं, प्रत्येक युग्म के भीतर का क्रम बदलता है।
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