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Class 12 · Mathematics
→If a relation matrix has all off-diagonal entries (1), but one main diagonal entry is (0), what is the relation like?
Class 12 · Mathematics
→The matrix of a relation is (\begin{bmatrix}1&1&0\0&1&1\1&0&1\end{bmatrix}). Which statement about the relation is correct?
Class 12 · Mathematics
→Which matrix of a relation on a three-element set makes the relation reflexive?
Class 12 · Mathematics
→How many relations on a three-element set are both reflexive and antisymmetric?
Class 12 · Mathematics
→How many relations on a four-element set are both reflexive and symmetric?
Class 12 · Mathematics
→On (A={1,2,3}), how many reflexive relations must contain both ((1,2)) and ((2,3))?
Class 12 · Mathematics
→What is the smallest reflexive relation on a set (A)?
Class 12 · Mathematics
→If (R) is reflexive on (A) and (S \subseteq R), which statement about (S) is always true?
Class 12 · Mathematics
→If (R) is reflexive on (A) and (B \subseteq A), on which set is (R \cap (B \times B)) reflexive?
Class 12 · Mathematics
→If (R) and (S) are reflexive relations on (A), which statement about (S \circ R) is correct?
Class 12 · Mathematics
→If (R) is a reflexive relation on (A) and (S) is any relation on (A), which statement about (R \cup S) is correct?
Class 12 · Mathematics
→If (A) is non-empty and (R) is a reflexive relation on (A), what is correct about (A \times A-R)?
Class 12 · Mathematics
→For any set (A), what is correct about the universal relation (A \times A)?
Class 12 · Mathematics
→On a non-empty set (A), the empty relation (R=\varnothing) is given. Which statement about (R) is correct?
Class 12 · Mathematics
→On the empty set (A=\varnothing), the empty relation (R=\varnothing) is given. Which statement about reflexivity is correct?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(a,b):|a-b|>0}) is given. What is (R)?
Class 12 · Mathematics
→On (A={1,3,5,7}), (R={(a,b):|a-b|\le 2}). Which statement about (R) is correct?
Class 12 · Mathematics
→On (A={-1,0,1}), (R={(a,b):a+b=0}). Is (R) reflexive?
Class 12 · Mathematics
→On a set (A) of integers, (R={(a,b):a^2=b^2}) is given. Why is (R) reflexive?
Class 12 · Mathematics
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