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hey bobby and thank you!

**ToneMU84**- Replies: 0

I am working on another type problem which wants us to list all the paths of length 2. I definantly know how to do that. I am stuck on the part is wants us to give the matrix for R^2.

Here is the problem and what i have.

abc, bcc, bcd,ccc,ccd,cda,dab <----this is 100% correct on the length 2. so if you could visualize the digraph where a,b,c,d all relate in a clockwise direction with c being reflexive.

Where do i begin to make a matrix for this? I know I can get R^2 of course if i know R-matrix.

Thank You Sincerely,

Tony:)

**ToneMU84**- Replies: 5

I am currently in discrete structures and i understand transitive, reflexive and anti-symmetric propteries. I am currently stuck on a type problem that will be on my exam on Equivalence Relations

Here is the problem i am currently studying...

Suppsoe R is an equivalance relation {1,2,3,4,5} What are the equivalence classes of each of the related elements.

1)1 is not related to 2

2)3R5

3)4R2

4)1 is not related to 3

5)3 is not related to 4

I know the answer b/c i have it in front of me, but dont understand y?!

Please if anyone could explain why the equivalence classes are {1} {2,4}{3,5} which would project the data I provided above.

Knowing my properties, i think since!?! 1 is not related to 2, and 1 is not related to 3, 1 has to reflexive? related to itself?

Since nothing relates to 3 and 3 only relates to 5, our equivalence class has to be {3,5}?!?

{2,4} i wouldnt know where to being.

I wish i could better visualize this as a digraph i think it would help me a lot more, but I cant plot this information correctly,

Thank You Sincerely,

Tony

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