[Q6: 7. Let A = {a, c, d}, B = {y,z}, C = {2, 5} and U (Universal set) = {a,b,c,d,x,y,z, 1, 2, 5, Y}. Find following: a. A UC %3D %3D b. C U B C. AUB d AAR (The symbol denotes the synmmetric difference operator

Q: 6. Given the universal set U ={x | x e 1, -10 sxS 10} A = {-2, -1, 0, 1, 2, 3 } B = {2, 3, 4, 5, 6,…

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Q: Let A = {1, 2, 3, 4, 5}. Define the following relations on A. R1 = {(1,1), (1,2), (2,1), (3,2),…

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Q: i: Let X and Y be topological spaces. Show that X Y X -Y but X -Y X - Y.

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Q: Suppose that A is the set {a, ß, y, d, ε}. A.) Construct a relation r on A that is a partial…

A: A relation r is said to be partial order relation if it is  (i) Reflexive  (ii) Anti-symmetric (iii)…

Q: ✓1.22 Represent each linear map with respect to each pair of bases. (a) d/dx: Pn → Pn with respect…

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Q: Question 4 (a) Let Ri and R2 be the relations on {a, b, c, d} given by R = {(a, a), (a, b), (c, d),…

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Q: Define relations S and R on the set A = {x, y, z, w} as follows S = {(y, x), (x, w), (w, z), (x,…

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Q: Let v = (1, 2, 3), w = (3, 2, 1), and o = (0, 0, 0). Which of the following sets are linearly…

A: We can solve this as follows:

Q: Let U(-5, -4, 3, 4, 6), V(-4, 1, 7, 1, 0). Find the inner product U.V

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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 Asfl,2,3} and The relations Ri=f(),(2,),(3,2) | find the following Ye lations

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Q: Let R be the region shown on the graph. Evaluate , y dA y (-1,1) 0.8 x +2y2 - 1 = 0 06

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Q: S = {a, b, c, d, e} R is a relation on S. The digraph representation of R is given below: 1. Use the…

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Q: VII.3. Let Rbe the relation on {1, 2, 3, 4} given by r Ry if, and only if, æ – y = 0. Represent Rin…

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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,…

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Q: Question 6. Let (X,r) be a topological space and A, BCX. Determine whether (A-B)CA -B or not.

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Q: Let E = [-5,20), be the universal set and Y =[-2,4], and Z = (0,10]be the subsets of %3D %3D Find:…

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Q: Let $(u, v) = (u², v). Find the following images under (a) The u-axis O the positive x-axis…

A: Given, Part a)  i) To find the image of u-axis under Since the v coordinate of points on u axis is…

Q: 19. Let R= 1010 1100 0011 0100 be the adjacency matrix for a relation r on the set A = {1,2,3,4}.…

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Q: Let B = {0, 1, 2, 3} and the relations R, S, and T on Z are as follows R = {(0, 1), (1,1), (2,…

A: The given sets are -…

Q: B) Let (R, T) be the left ray topological space If Y=(3,7], then define ty and determine the open…

A: Given: B) ℝ, τ is a left ray topological space and Y=(3, 7]. To determine: Which one of the open and…

Q: Below are four coordinate axes for 3-space, labeled I, II, III, and IV. Which sets of axes adhere to…

A: Once the x- and y-axes are specified, they determine the line along which the z-axis should lie, but…

Q: Consider following five sets: 1. { , } { } II. { } II. IV. { , , } V. { , } Find all linearly…

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Q: Which of the following sets are Linearly independent? None of these O M={(1,1,0), (0,1,0), (1,0,1)}…

A: Let M = { (1, 1, 0), (0, 1, 0), (1, 0, 1) } Let a, b, c are three scalar such that           a(1, 1,…

Q: -10000) Say for what values of a and b the set A is a basis of R4 Consider the set

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