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

Chapter 2, Problem 30E

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QUESTION:

Problem 30E

Let A be a zero–one matrix. Show that

a) A ∨ A = A. 

b) A A = A.

Questions & Answers

QUESTION:

Problem 30E

Let A be a zero–one matrix. Show that

a) A ∨ A = A. 

b) A A = A.

ANSWER:

Solution:

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=

         =

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