and B = {Thaddeus, Peter} be the set of male members. Let R be the relation between the sets A and B consisting of pairs (a, b), where a is a parent of b. Let S be the relation between sets B and A consisting of pairs (a, b), where a and b are siblings (brothers or sisters). • Represent relations R and S in the matrix form. • Use the matrix forms to compute Ro S and So R.

Q: Determine whether the set in P_2 is linearly independent.    S={x^2 , +1, 2 - 1, 2}

A:

Q: d. Define a relation R on {1, 2, 3, 4} by R = {(a, b) / a +b is even} and i. Write R as a list of…

A: According to the given information, Let R be a relation on {1,2,3,4} defined as:

Q: Let 2 v = w = and 0 = 3 Which of the following sets are linearly dependent? Select all that apply.…

A: Solution:Given vectors are      v→=203     ,  w→=111   ,  0→=000

Q: 11. Let R₁ and R₂ be the relations on {1,2,3,4} given by R₁ = {(1,1), (1,2), (3,4), (4,2)} R₂ =…

A: Sol:- To find R1 o R2, we need to compose the two relations. The composition of relations R1 and R2…

Q: Given a relation, R on A = {a, b, c, d} on as follows: R = {(а, а), (а, b), (а, d), (b, b), (b, с),…

A: Relation as a Matrix: Let A = {a1,a2,a3,.......am} and B = {b1,b2,b3......bn} are two finite sets,…

Q: . A) Write the ordered pairs, graphical representation, and the relation matrix, for  the Relation R…

A:

Q: 6) Let R1 and R2 be relations on a set A such that R1 = {(1, 2), (2, 1), (3, 2), (3, 3)} R2 = {((1,…

A: Solution

Q: 1. for  the Relation R ‘is a factor of’, on set A{1,2,3,6}. Write: A) the ordered pairs B) a…

A: Given the set A{1,2,3,6}

Q: and -5 Compute ū - v. 2

A: Given    Formula :

Q: Let P={{a,b,d},{c,f},{e,g}} be a partition. Write the relation matrix for the implied equivalence…

A: P={{a,b,d},{c,f},{e,g}} . The  equivalence relation is as follows:…

Q: Let A = {2, 4, 5}, and let R be the relation on A consisting of pairs of the form (a, b), where ab…

A: Pairs in R is: {(4,4),(4,5),(5,4),(5,5)} Only these have ab>12

Q: Let A={1,2,3,4} and let R, S, T, and U be the following relations: R={(1,1),(1,2),(1,3),(1,4)}…

A: Given :  A={1,2,3,4} and let R, S, T, and U be the following relations: R={(1,1),(1,2),(1,3),(1,4)}…

Q: Let 7 -7 2 -2 -5 %3D - 3 -2 9. -8 a) Find the dimension of the row space ofA. b) Find the dimension…

A: The given matrix,A=117-72-2-565-3-25409-8

Q: Show that matrix equivalence is an equivalence relation on Mmxn (F).

A:

Q: 1) Is {(1, 0,3), (1, 4, -2), (-8, 12, -4), (1, 37, 17)} a linearly independent list?

A: We check given set of vectors is linearly independent or not.

Q: Let A = {1, 2, 3, 4}. Define a relation R on A: R = {(1, 2), (1, 3), (2, 2), (2, 3), (3, 4), (4, 3)}…

A:

Q: V = Span{(1, 2, 3), (1, 0, 2)} and W = Span {(0, 2, 1), (1, 1, 1)}. Find the relation between V and…

A:

Q: Compute the orders of: U(5), U(7), U(35)

A: Note that, U(n) represents a group consisting of non-negative integers which are less than n and are…

Q: Let A = {0, 1}. Determine all relations on A

A: The numbers of relations on A  2n2 n is the number of elements in the set 222=24=16

Q: 9. S= {(6,2, 1), (-1,3,2)} is: %3D linearly independent set of R. b. a linearly dependent set of R3.…

A:

Q: r1 1 1 0- 1 0 0 c) The matrix M represents the relations R defined. = 1 1 11 the set A = {1, 2, 3,…

A:

Q: 2. Let R be the relation on the set {1,2,3,4} containing the ordered pairs (1,2), (1,4), (2,1),…

A:

Q: 2. Assume u = Z, and let A B = {..., -6, -4, -2,0,2, 4, 6,...} {-9, -6, -3,0, 3, 6, 9,...} {...,…

A: According to guidelines we can solve only first three subparts and rest part can be reposted…

Q: Identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d),…

A: We need to identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b),…

Q: Q4) Determine whether the set S is linearly independent or linearly dependent a) S = {(2,1,–2),…

A:

Q: 1. By using the attached graph of relation R1.  a) Express R1 as a set of ordered pairs. b) create a…

A:

Q: Q-3: a) Let R be a relation on A = {1,2,3,4} such that aRb means |ab| ≤ 1. Find the matrix…

A: (a) It is given that, R be a relation on A = {1, 2, 3, 4} such that aRb ⇔ a-b≤1 We have to find the…

Q: List the ordered pairs in the relation R from A=0,1,2,3, 4 B =1,2,3, 4, 5, where Ris defined as (a,…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 9. S = {(6,2, 1), (–1,3, 2)} is: linearly independent set of R³. b. a linearly dependent set of R³.…

A:

Q: Answer the question. * Which one of the following choices is obtainable by applying the join…

A: Given: To explain the correct option of the given statement as follows,

Q: Let 4= {1, 2, 3, 4, 5, 6} and the relation R on A is defined by R = {(a,b)|a + b is prime; a, b E A}…

A:

Q: Let u = , v = and w = . Now, i = is a linear combination of ü, v and w. That is, i = aju + azv +…

A: ANSWER:

Q: Let fi = 1+a +x², f2 = 3 + 2x +x², f3 = 1+2x + 3x², fa = 1+3r + 5æ². If is a dependence relation on…

A: We have to solve given problem:

Q: Let A = {1, 2, 3, 4). Define a relation R on A: R = {(1, 2), (1, 3), (2, 2), (2, 3), (3, 4), (4,3)}…

A: Since you have posted a multi subparts question according to guidelines I will solve first…

Q: Represent the following relation {1,2, 3, 4} with a matrix. {(1,1), (1, 4), (2, 2), (3, 3), (4, 1)}

A: Given below the detailed solution

Q: Let A={a.b.c.d.e) and S, T, U and V relations on A where S = {(a,g), (ab), (ba), (kd), (ce), (ed),…

A:

Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

A:

Q: ao + 2a1 + a2 - azz²) = | da0 + 7a; + 5az 3ao + 5a, + 5a2, Let T(ao + a;7 - Determine ifT is…

A:

Q: 4- The orthogonal relation is A: symmetric and reflective relation B: symmetric and not reflective…

A:

Q: a ) Let R be the relation on the set A={1,2,3,4} defined by aRb if and only if 2a>b+1. Find the…

A: let A={1,2,3,4}   aRb iff 2a>b+1   first we will find R…

Q: Draw a directed graph (digraph) for the relation on {1,2,3,4} {(1,1), (1,4), (2,2), (3,3), (4,1)

A: From the given relation {(1,1), (1,4), (2,2), (3,3), (4,1)} on {1,2,3,4}, draw a directed graph.…

Q: Let A = (0,1,2,3). The relations R, S and T in the set A are defined as follows……

A: