Let R_1 and R_2 be a relations on a set

Lloyd Allen

Lloyd Allen

Answered question

2021-11-19

Let R1 and R2 be a relations on a set A represented by the matrices below:
MR1=[010111100]
MR2=[010011111]
Find the matrix that represents R1R2

Answer & Explanation

romancemrf

romancemrf

Beginner2021-11-20Added 14 answers

Consider the given matrices, MR1=[010111100] and MR2=[010011111]
Note that, the intersection aB is all elements that are both in A and in B.
The matrices representing each of the relations come together to form the matrix corresponding to the intersection of two relations.
MR1 R2=MR1MR2
=[001100101111110101]
=[011011100]
Hence, the matrix that represents R1R2 is =[011011100]

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