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I don\'t understand the two points I circled them Please explain them . Thanks I

ID: 2899171 • Letter: I

Question

I don't understand the two points I circled them

Please explain them .


Thanks

In the directed graph of reflexive relation R, there , s a directed arrow from every point to itself. In the binary matrix of a reflexive relation R, there is a one in every position along the diagonal which runs from the top left to the bottom right of the matrix. In the directed graph of a symmetric relation R, every arrow connecting different points in its directed graph is bidirectional. The binary matrix of a symmetric relation R is symmetric about its leading diagonal

Explanation / Answer

Quite elementary:- A symmetric matrix has elements which are equal across the leading diagnol and the point just rephrases it. So symmetric martix symmetric accross symmetric diagonal. Theere will be no bidirectional arrows joining two points because if there are arrows joining the two points they will be equal and hence the matrix symmetric which is not the case as the matrix is anti-symmetric. So only unidirectional arrows will be there. Comment for more elucidation.pls rate

Dr Jack
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