Help please SIfeMnu2) Which pair is in the original Rbut not represented in thearrow diagram? Give youranswer in the form (a, b).CheckCheck3) Which entry in the matrix is a0 but should be a 1? Giveyour answer in the form (row-number, column-number).Note that the correct relationis given by the set R.hiCheckShow answerShi4) Which entry in the matrix is a1 but should be a 0? Giveyour answer in the form (row-number, column-number).Note that the correct relation.is given by the set R.Show answerShow answertvA0XPreutayWhame,own.is aa PARTICIPATIONACTIVITYLet A = (1, 2, 3, 4). Define a relation R on A:R = {(1, 2), (1, 3), (2, 2), (2, 3), (3, 4), (4,3)}An arrow diagram and matrix representation of the relation aresupposed to be represented below, but there are somemistakes. Rows of the matrix are numbered 1 through 4 fromtop to bottom and columns are numbered 1 through 4 fromleft to right.15.1.6: Representations of binary relations on aset.4Check231) Which pair is in the arrowdiagram but not the originalR? Give your answer in theform (a, b).Show answer00001000 11IncorrectLook at arrows leaving 3.19014410WFmeowis

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

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)} An arrow diagram and matrix representation of the relation are supposed to be represented below, but there are some mistakes. Rows of the matrix are numbered 1 through 4 from top to bottom and columns are numbered 1 through 4 from left to right. 1 4 2 3 1) Which pair is in the arrow diagram but not the original R? Give your answer in the form (a b) 0 1 0 0 1 0 0 0 0 0 1 1 Incorrect Look at arrows leaving 3. 0 1 1 0 Yo ४ O W 17

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)} An arrow diagram and matrix representation of the relation are supposed to be represented below, but there are some mistakes. Rows of the matrix are numbered 1 through 4 from top to bottom and columns are numbered 1 through 4 from left to right. 1 4 2 3 1) Which pair is in the arrow diagram but not the original R? Give your answer in the form (a b) 0 1 0 0 1 0 0 0 0 0 1 1 Incorrect Look at arrows leaving 3. 0 1 1 0 Yo ४ O W 17

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 68E: Proof Prove that if S1 is a nonempty subset of the finite set S2, and S1 is linearly dependent, then...

See similar textbooks

Similar questions

Let A= {1,2,3,4} and let R be the relation with matrix [0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 Test the relation with the following properties: reflexive symmetric transitive
Write the relation matrix for the relation R on the set {a,b,c,d,e,f} which is defined as follows: R={(a,a), (a,b), (a,c), (b,a), (b,c), (c,a), (c,b), (d,d), (f,f)}.
Given that T is a relation on the set {1, 2, 3, 4}, and the set of ordered pairs is: T = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 3), (3, 2), (3, 3), (3, 4), (4, 1), (4, 3), (4, 4)}. Can you draw T as a directed graph? Can you show T as a matrix with elements that are zeros and ones? Is T reflexive? Can you explain why?
Let A = {1, 2, 3, 4, 6, 12, 24} and R be a relation on A such that xRy if and only if xdivides y.Find the matrix of the relation R.(i) Show that R is a partial order on A.Draw the digraph of R follow by its Hasse diagram.Determine least upper bound of {2, 3}. Determine the greatest lower bound of {4, 6}.
Let A={1,2,3,4} and let R be the relation from A to A R={(1,1),(1,4),(2,1),(2,2),(2,3),(3,1),(3,4),(4,3)} Create thr diagraph and matrix Mr for the relation
Consider the relation R defined on the set X={a,b,c,d} and Y={1,2,3,4} from X to Y, where R={(?, 1); (?, 3); (?, 2); (?, 3); (?, 4); (?, 2)}.(i)Deduce the matrix of the complementary relation, ???, clearly outline and comment on your result.(ii) A relation T is defined on the set Y above from Y to Y as ? ={(1,1); (4,2); (1,3); (2,4); (2,1); (3,2); (3,3); (3,4); (1,2); (2,3); (4,4); (4,1)}, compute and analyze ????−1. (b) Given the functions f and g de defined by ?(?) =6?+57?−5, ? ≠57; ??? ?(?) = 2?2 − 3? + 4. Critically analyze and deduce the formula defining the (i) composition function gof (ii) inverse function ?−1(c)Apply the Runge-Kutta formula as a tool for solving and analyzing numerical differential equation, critically compute and analyze the numerical solution of ?′ = ?(?, ?) = 1 + ?2, y(0) = 0. Computing for the first step, with ℎ = 0.5
Let the set A = {1, 3, 5, 9} and the relation R defined as the following R = {(1, 1), (1, 3), (1, 5), (1, 9), (3, 3), (3, 9), (5, 5), (9, 9)} A. Represent R with a matrix (considering the elements of the set A listed in the same order as above) B. Determine with justification the properties of the relation R (reflexive, symmetric, antisymmetric, transitive, and/ or equivalence) C. Which of the followings describes R? I. R = {(a, b) | a, b A and a < b} II. R = {(a, b) | a, b A and a divides b} III. R = {(a, b) | a, b A and a + b < 20}
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 matrix representing R∘R. b) Suppose that the relation R is defined on the set Z where aRb means a= ±b. Show that R is an equivalence relation.i would like to get a non handwriting answer to be easy to cope please
Let the set A = {2, 3, 8, 12} and the relation R defined as the following R = { (2, 2), (2, 8), (2, 12), (3, 3), (3, 12), (8, 8), (12, 12)} A. Represent R with a matrix (considering the elements of the set A listed in the same order as above) B. Determine the properties of the relation R (reflexive, symmetric, antisymetric, transitive, and/ or equivalence). C. Which of the followings describes R? 1. R = {(a, b) | a divides b} 2. R = {(a, b) | a > b} 3. R = {(a, b) | a + b < 15
Given the following relation, { ( A, A ), ( A, B ), ( A, E ), ( B, B ), ( B, E ), ( C, A ), ( C, B ), ( C, C ), ( C, D ), ( D, A ), ( D, B ), ( D, D ), ( E, C ), ( E, D ), ( E, E ) }i) Draw the digraph of the relation, ii) construct the matrix diagram for the relation, and iii) why or why not is the relation reflexive, symmetric, antisymmetric, transitive?
Let R be a relation on the set A = {0, 1, 4, 8} defined by xRy if and only if x + y < 8.(i) List the ordered pairs which belong to the relation R, Draw the digraph of R, Represent R in matrix form and Determine the in-degree and out-degree of each vertex.
Let R be the relation {(3,2),(3,4),(1,3),(2,1)} defined on the set {1,2,3,4,5}. a) Draw the digraph of R. b) Write the matrix form of this relation. c) Find the transitive closure of R.