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離散數學›Ch2 關係與函數
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20. Relation Closure、Partial Order、Equivalence Relation
#LS-02-020易Relation ClosurePartial OrderEquivalence Relation
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For questions 1–4, matrix A\mathbf{A} describes a binary relation R\mathbf{R} (rows and columns correspond to elements 1 to 6).

A=[000001001110000110000110000000000001]\mathbf{A} = \begin{bmatrix} 0 & 0 & 0 & 0 & 0 & 1 \\ 0 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 & 0 & 1 \end{bmatrix}

Consider different closures of R\mathbf{R}. Which of the following statements are true?

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