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Math Help - Repressenting relations using matrices

  1. #1
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    Talking Repressenting relations using matrices

    Hi everyone!

    I am struggling a bit with a question, it is pretty basic, and I have read through this part in the book, I just don't quite understand how this works.

    Question:

    Suppose that A = {1, 2, 3} and B = {1, 2}. Let R be the relation from A to B containing (a, b) if a is inside of A, b is inside of B, and a > b. What is the matrix representing R if a1 = 0 , a2 = 2, and a3 = 3 and b1 = 1 and b2 = 2?

    In the book they do give a matrice as a solution, but they don't explain how they got the matrice. So, I was hoping someone could explain to me how to think about this.

    Thank you all for reading!
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  2. #2
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    Hyrule
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    Re: Repressenting relations using matrices

    I guess Mij is 1 if and only if a_i is in relation with b_j and 0 otherwise. (M is the matrix)
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