1
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?
A
$R$ is reflexive and symmetric but not transitive
B
$R$ is reflexive and transitive but not symmetric
C
$R$ is symmetric and transitive but not reflexive
D
$R$ is an equivalance relation
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

$$ \text { Define binary operation * on } Q \text { by } a * b=a+b-3 \text {. The inverse of } 2 \text { with respect to * is } $$

A
4
B
2
C
3
D
5
IAT (IISER) Subjects
EXAM MAP