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If the matrix of a relation is (M=\begin{bmatrix}1&0&1\0&1&0\1&0&0\end{bmatrix}), what is the correct statement about the relation?

Answer and explanation

Correct answer: It is symmetric

Step 1: A relation is symmetric if its matrix is symmetric about the main diagonal. Step 2: Here (m_{13}=1) matches (m_{31}=1), (m_{12}=0) matches (m_{21}=0), and (m_{23}=0) matches (m_{32}=0). Step 3: In matrix questions, compare (m_{ij}) with (m_{ji}).

Related tags

Matrix Of RelationSymmetric MatrixClass 12HardSymmetric RelationRelations And FunctionsMathematicsClass 12 Mcq

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