यदि \(A=\{1\}\) और \(B=\{2\}\) हैं, तो \(A\times B\) और \(B\times A\) में क्या अंतर है?
If \(A=\{1\}\) and \(B=\{2\}\), what is the difference between \(A\times B\) and \(B\times A\)?
Explanation opens after your attempt
A. \(A\times B={(1,2)}\) और \(B\times A={(2,1)}\)\(A\times B={(1,2)}\) and \(B\times A={(2,1)}\)
Concept
In the first product, (1) is in the first position, and in the second, (2) is in the first position. Order matters even with one element each.
Why this answer is correct
The correct answer is A. \(A\times B={(1,2)}\) और \(B\times A={(2,1)}\) / \(A\times B={(1,2)}\) and \(B\times A={(2,1)}\). In the first product, (1) is in the first position, and in the second, (2) is in the first position. Order matters even with one element each.
Exam Tip
पहले गुणन में (1) पहले स्थान पर है और दूसरे में (2) पहले स्थान पर है। एक-एक तत्व होने पर भी क्रम महत्वपूर्ण रहता है।
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