Sets and Relations · Mathematics · IAT (IISER)
MCQ (Single Correct Answer)
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?
IAT (IISER) 2024
2
$$ \text { Define binary operation * on } Q \text { by } a * b=a+b-3 \text {. The inverse of } 2 \text { with respect to * is } $$
IAT (IISER) 2020