Let R be the relation R= ((a, c), (a, d), (b, a), (c, a), (c, b),.(d.b).What is the matrix representation of this relation, given that the labels on the matru rowsand on the matrix columns are in alphabetical order?ATE10 01 1100 01 10010 1 0 0p VTE (0 0 1100011000 0 0 1(0 0 0 1)10001 1000 0 0 1(0 0 0 1\100 01 10 010 1 0 1

The given Relation R = {(a,c),(a,d),(b,a),(c,a),(c,b),(d,b)} We need the Matrix representation.

Answered: Let R be the relation R = ((a, c), (a,…

Computer Networking: A Top-Down Approach (7th Edition)

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ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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8 of 40 Let R(A, B, C, D, E, F) be a relation with FD's: {D → C, C → D, D – E, C → E, E → AD, AF → E, D → B}. Which of the following statements is correct? Select one: O R is not in 3NF but in BCNF. Ris not in 3NF and not in BCNF. O Ris in 3NF but not in BCNF. O R is in 3NF and in BCNF.
Suppose you are given a relation R = (A,B,C,D,E) with the following functional dependencies: {CE -> D,D -> B,C -> A}. Identify the best normal form that R satisfies (1NF, 2NF, 3NF). Explain Why
For each of the following pairs of expressions, give instances of relations thatshow the expressions are not equivalent. ΠA(r − s) and ΠA(r) − ΠA(s).
Consider the following set F of functional dependencies on the relation schema (A, B, C, D, E, G): А — ВCD ВС — DE В — D D→A Give a BCNF decomposition of the given schema using the original set F of functional dependencies.
Consider the relation represented by the matrix below. [1 0 1 01 0 1 1 1 1 11 1- List the ordered pairs of the relation Draw a directed graph to represent the relation.
The division operator of relational algebra, “÷”, is defined as follows. Let r(R)and s(S) be relations, and let S ⊆ R; that is, every attribute of schema S isalso in schema R. Given a tuple t, let t[S] denote the projection of tuple t onthe attributes in S. Then r ÷ s is a relation on schema R − S (that is, on theschema containing all attributes of schema R that are not in schema S). A tuplet is in r ÷ s if and only if both of two conditions hold:• t is in ΠR−S(r)• For every tuple ts in s, there is a tuple tr in r satisfying both of the following:a. tr[S] = ts[S]b. tr[R − S] = tGiven the above definition:a. Write a relational algebra expression using the division operator to findthe IDs of all students who have taken all Comp. Sci. courses. (Hint:project takes to just ID and course id, and generate the set of all Comp.Sci. course ids using a select expression, before doing the division.)b. Show how to write the above query in relational algebra, without usingdivision. (By doing so, you…
Give an example of a relation schema R′ and set F′ of functional dependencies such that there are at least three distinct lossless decompositions of R′ into BCNF.
Consider the relation prereg in the University Database and its transitive closure defined in Section 5.4 of the textbook. Consider the recursive query in Figure 5.16 that outputs this transitive closure. Write a recursive query that finds all direct or indirect prerequisite of BIO-301. Output a table with one column that contains the IDs of all such prerequisites. Note that your query must work correctly not only for the given instance of prereg, but also for all possible instances. Run this query.
Select all binary relation properties that apply to the following relation: Equal magnitude: |x| = lyl O antisymmetric O reflexive O symmetric O transitive
Decompose the relations, as necessary, into collections of relations that are in BCNF. R(A,B,C,D) with FD’s AB->C,C->D,and D->A. Could you show step by step procedure for this with detailed explaination?
QUESTION 6 Consider the following functional dependencies for a relation R(A, B, C, D) A -> (B, C, D), (A, D) -> (B, C) (C, D) -> (A, B) Identify the candidate key(s). O {C, D} O {A}, {C, D}, {A, D} O {A}, {C,D} O A
21. of 40 A decomposition is in 3NF if every decomposed relation is in 3NF. A decomposition is in BCNF if every decomposed relation is in BCNF. Let R(A,B,C,D,E,F,G) be a relation with the functional dependencies: C→ E, EG→ D, DG-→A, and A→ BF. If we decompose R into relations R1(C, D, G), R2(A, D, G), R3(A, B, F), and R4(C, E), which of the following statements is TRUE? Select one: O The decomposition is in BCNF but Not in 3NF. The decomposition is in 3NF and in BCNF. The decomposition is in 3NF but Not in BCNF. O The decomposition is Not in 3NF and Not in BCNF.

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Let R be the relation R = ((a, c), (a, d), (b. a), (c, a), (c, b), (d, b) %3D What is the matrix representation of this relation, gven that the labels on the matru rows and on the matrox colurmns are in alphabetical order?