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Let A be a zero–one matrix. Show thata) A ? A = A.

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 30E Chapter 2.6

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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1
Problem 30E

Let A be a zero–one matrix. Show that

a) A ∨ A = A. 

b) A ∧ A = A.

Step-by-Step Solution:
Step 1 of 3

Step1

Given that

Let A be a zero–one matrix.

Step2

To find

Show that

a) A ∨ A = A.

b) A ∧ A = A.

Step3

We have

A zero–one matrix:-A matrix is in rectangular form with entries 0 or 1.

Let

a.

Here,

L.H.S(Left hand side)=

R.H.S(right hand side)=A

L.H.S=

         =

         We know that

By using this we get

           =

           = A

 ...

Step 2 of 3

Chapter 2.6, Problem 30E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

The answer to “Let A be a zero–one matrix. Show thata) A ? A = A. ________________b) A ? A = A.” is broken down into a number of easy to follow steps, and 19 words. Since the solution to 30E from 2.6 chapter was answered, more than 261 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: let, Matrix, show, Zero. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 30E from chapter: 2.6 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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