I.A) Antisymmetric Relation * A relation R on a set A is called antisymmetric if vavb((a,b) ER^ (b,a)ER → (a=c)) A relation R on a set A is called antisymmetric if vavb((a,b) ER^ (b,c) ER → (a=b)) O A relation R on a set A is called antisymmetric if vavb((a,b) ER^ (b,a) ER → (a=b)) I.B) Matrix * A collection of numbers arranged in a row-by-row and column-by-column arrangement. O A collection of letters arranged in a row-by-row and column-by-column arrangement. O A collection of numbers and letters arranged in a row-by-row and column-by- column arrangement. I.C) Reflexive Relation * A relation R on a set A is called irreflexive if vaeA, (a,a)is not € R A relation R on a set A is called reflexive if (a,a)ER for every element aЄA. In other words, va((a, a)ER). A relation R on a set A is called reflexive if (a,a) R for every element a€A. In other words, va((a, a)R).
I.A) Antisymmetric Relation * A relation R on a set A is called antisymmetric if vavb((a,b) ER^ (b,a)ER → (a=c)) A relation R on a set A is called antisymmetric if vavb((a,b) ER^ (b,c) ER → (a=b)) O A relation R on a set A is called antisymmetric if vavb((a,b) ER^ (b,a) ER → (a=b)) I.B) Matrix * A collection of numbers arranged in a row-by-row and column-by-column arrangement. O A collection of letters arranged in a row-by-row and column-by-column arrangement. O A collection of numbers and letters arranged in a row-by-row and column-by- column arrangement. I.C) Reflexive Relation * A relation R on a set A is called irreflexive if vaeA, (a,a)is not € R A relation R on a set A is called reflexive if (a,a)ER for every element aЄA. In other words, va((a, a)ER). A relation R on a set A is called reflexive if (a,a) R for every element a€A. In other words, va((a, a)R).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Advanced Math (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. NO LONG EXPLANATION NEEDED. CHOOSE THE CORRECT ANSWER. PLEASE ANSWER ALL. SUBQUESTIONS.)
Transcribed Image Text:I. Select the best answer for each item.
I.A) Antisymmetric Relation *
A relation R on a set A is called antisymmetric if vavb((a,b) ≤R ^ (b,a)=R → (a=c))
A relation R on a set A is called antisymmetric if vavb((a,b) ER^ (b,c) ER → (a=b))
O A relation R on a set A is called antisymmetric if vavb((a,b)=R^ (b,a)≤R → (a=b))
I.B) Matrix *
A collection of numbers arranged in a row-by-row and column-by-column
arrangement.
A collection of letters arranged in a row-by-row and column-by-column
arrangement.
A collection of numbers and letters arranged in a row-by-row and column-by-
column arrangement.
I.C) Reflexive Relation *
A relation R on a set A is called irreflexive if vaeA, (a,a)is not € R
A relation R on a set A is called reflexive if (a,a)ER for every element a€A. In other
words, va((a, a)=R).
A relation R on a set A is called reflexive if (a,a) R for every element a€A. In other
words, va((a, a) #R).
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