1
IAT (IISER) 2024
MCQ (Single Correct Answer)
+4
-1
Let $M$ be the set of all $3 \times 3$ matrices with real entries. Consider the relation $R$ on $M$ given by $R=\{(A, B) \in M \times M: \operatorname{det}(A-B)$ is an integer $\}$. Which one of the following statements is Correct?
2
IAT (IISER) 2022
MCQ (Single Correct Answer)
+4
-1
Let $X$ be the set of all $2 \times 2$ matrices with real entries and $R \subset X \times X$ be the relation $R=$ $\{(A, B): A B=B A\}$. Which of the following statements is true?
3
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
$$ \text { Define binary operation * on } Q \text { by } a * b=a+b-3 \text {. The inverse of } 2 \text { with respect to * is } $$
Questions Asked from Sets and Relations (MCQ (Single Correct Answer))
Number in Brackets after Paper Indicates No. of Questions
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