Consider the relation{(1,1), (1,3), (1,4), (2,3), (2,4), (3,1), (4,1), (4,2)} on the seta. Represent the relation as a matrix.{1,2,3,4}.b. Represent the relation as a directed graph.

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Answered: Consider the relation{(1,1), (1,3),…

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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Describe the reflection of △FGH△FGH with vertices F(−3, 2), G(−4, −1)F(-3, 2), G(-4, -1), and H(−6, −1)H(-6, -1), to its image △F′G′H△F′G′H′ with vertices F′(2, −3), G′(−1, −4)F′(2, -3), G′(-1, -4), and H′(−1, −6)H′(-1, -6). Use decimals, if necessary. (x, y) → ( , ) ---- I don't know how to put it into coordinates.
Please help!! Also, if possible give an explanation with the solution.
(a) Write a set of ordered pairs (x, y) that defines the relation.
|- 2x + y < - 4 Graph: 2x + 4y 2 - - 8 4. 3. 2. -7 -6 -5 -4 -3 -2 -1 7. -2 -4 Type here to search
Number 2
Describe the reflection of △FGH△FGH with vertices F(−3, 2), G(−4, −1)F(-3, 2), G(-4, -1), and H(−6, −1)H(-6, -1), to its image △F′G′H△F′G′H′ with vertices F′(2, −3), G′(−1, −4)F′(2, -3), G′(-1, -4), and H′(−1, −6)H′(-1, -6). Use decimals, if necessary. (x, y) ----- I don't know how to represent reflecctions as coordinates.
Consider the graph G with • V(G) = {2,3,6} • e(G) = {a, b, c, d, e, f, g} •E(G) = {(a, [2,2]), (b, [3,3]), (c, [6,6]), (d, [2,6]), (e, [6,2]), (f, [3,6]), (g, [6,3])} Using edge connectivity, we can define the relation R = {(2, 2), (3, 3), (6, 6), (2, 6), (6, 2), (3, 6), (6,3)} Which of the following statements are true? [More than one statement may be true.] R is reflexive. R is symmetric. R is transitive. R is antisymmetric.
Which of the following is not a property of a partial ordering relation? Reflexivity O Symmetry O Anti-symmetry O Transitivity
Consider the relation between hours of study and quiz grade for three different students. (i) Student 1 did not spend any time and received 5 in the quiz. P¡ = (0, 5) (ii) Student 2 spent an hour studying and received 5 in the quiz. P2 = (1, 5) (iii) Student 3 spent two hours studying and received 8 in the quiz. P3 : (2, 8). %3| We want to find a linear relation between hours of study and grade of the quiz y = mx + q where m and q are our unknowns, x represents the hours studied for the quiz and y the quiz grade. (4а Show that there is no line y = mx + q that passes through P , P and P3 using an inconsistent system of equations. Hint: Substitute the x and y values of P, P, P3 in the line equation and show that the 3x2 system with unknowns m and g has no solutions. (4b Write the system of equations for part a) in matrix form Aš b where i = (m, q)" . (4c Compute (AT A)-1. (4d Compute i (AT A)-' A™ b and find m = x1 and q = x2. (4e Plot the line obtained by replacing m and q and the…
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Consider the relation{(1,1), (1,3), (1,4), (2,3), (2,4), (3,1), (4,1), (4,2)} on the set a. Represent the relation as a matrix. {1,2,3,4}. b. Represent the relation as a directed graph.