離散數學›Ch2 關係與函數
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16. Relation Properties、Transitive Closure
#LS-02-016易Relation PropertiesTransitive Closure
題組題幹(本題:11,共 2 小題)點擊展開

For questions 11 and 12, matrix A\mathbf{A} describes a binary relation R\mathbf{R} (rows and columns correspond to elements 1 to 6).

A=[100010111111101110000110000010001111]\mathbf{A} = \begin{bmatrix} 1 & 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 1 & 1 & 1 & 1 \\ 1 & 0 & 1 & 1 & 1 & 0 \\ 0 & 0 & 0 & 1 & 1 & 0 \\ 0 & 0 & 0 & 0 & 1 & 0 \\ 0 & 0 & 1 & 1 & 1 & 1 \end{bmatrix}

About relation R\mathbf{R}, which of the following statements are true?

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