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In the matrix of a symmetric relation, if (m_{12}=1), which entry will also be (1)?सममित संबंध के आव्यूह में (m_{12}=1) हो, तो कौन-सी प्रविष्टि भी (1) होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (m_{21})(m_{21})
Step 1: (m_{12}=1) means ((1,2)) belongs to the relation. Step 2: By symmetry, ((2,1)) also belongs, so (m_{21}=1). Step 3: In a matrix, reversing a pair reverses the indices.चरण 1: (m_{12}=1) का अर्थ है कि ((1,2)) संबंध में है। चरण 2: सममितता के कारण ((2,1)) भी होगा, इसलिए (m_{21}=1) होगा। चरण 3: आव्यूह में स्थान उलटने पर सूचकांक भी उलटते हैं।
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