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# Solved: In this exercise we show that the meet and join ISBN: 9780073383095 37

## Solution for problem 32E Chapter 2.6

Discrete Mathematics and Its Applications | 7th Edition

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Problem 32E

In this exercise we show that the meet and join operations are associative. Let A,B, and C be m × n zero–one matrices. Show thata) (A ?B) ? C = A ?(B ?C).________________b) (A ?B) ?C = A? (B ?C).

Step-by-Step Solution:
Step 1 of 3

Solution:Step1Given thatLet A,B, and C be m × n zero–one matrices.Step2To findShow thata) (A B) C = A (B C).b) (A B) C = A (B C).Step3a) (A B) C = A (B C).Here,L.H.S(Left hand side)=R.H.S(right hand side)=A (B C)Let L.H.S= = We know thatBy using this we getL.H.S= R.H.S=A (B C) = = = So, L.H.S=R.H.STherefore, the meet and join operations are associative. (A B) C = A (B C)Step4b) (A B) C = A (B C).Here,L.H.S(Left hand side)=R.H.S(right hand side)=A (B C)Let L.H.S= = We know thatBy using this we getL.H.S= R.H.S=A (B C) =A = We know thatBy using this we getR.H.S= So, L.H.S=R.H.STherefore, the meet and join operations are associative. (A B) C = A (B C).

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##### ISBN: 9780073383095

This full solution covers the following key subjects: show, Matrices, Join, let, exercise. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “In this exercise we show that the meet and join operations are associative. Let A,B, and C be m × n zero–one matrices. Show thata) (A ?B) ? C = A ?(B ?C).________________b) (A ?B) ?C = A? (B ?C).” is broken down into a number of easy to follow steps, and 40 words. Since the solution to 32E from 2.6 chapter was answered, more than 319 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 32E from chapter: 2.6 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.

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Solved: In this exercise we show that the meet and join