[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: Let u = (9,3,-3), v = (0,2,-5), and w = (6,5,4). Compute v X w. vxW=(

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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: Q1:Let R={1, 2, , 103, .. A={xEN:1<xs 3}=D{1,2,3}, B={xeN:8< xs 103%={8,9, 103}, C={xEN:1<x< 2}={1,…

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Q: 6. Is the set S {(2, 3, 1), (1, 2, 1), (-2, 3, 3)} C R³ linearly %3D independent or dependent?…

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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: Determine whether the set S is linearly independent or linearly dependent. S = {(-5, -2, 4), (2, -1,…

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Q: Q3) Determine whether the following set is linearly independent. (0,3, –3, –6), (–2,0,0, -6), (0,–4,…

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Q: 2) What rule maps ABC onto A'B'C'? A. (x,y) → (x+4, y = 4) B. (x,y) → (x-3, y + 5) 4 (2-0)-²00) AY 5…

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Q: 2. Consider the relations Rand S on the set A= (1,2.3, 4): R=((1.1), (1.3), (2,4). (3, 3). (3, 4),…

A: Recall the following properties. A⊕B=A-B∪B-AA×B=a,b: a∈A, b∈BA∪B=a: a∈A or a∈B…

Q: Let X = {a, b,c, d},T= {o, X, {d}, {a,b}, {a, b, d}} and Y = (m,n, p,g},F = {@,Y, {p}, (m,n}, {m,n,…

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Q: Use a direct proof: If x and y are rational, then 3x+2y is also rational.

A: In this question, concept of Direct proof is applied. Direct Proof A direct proof is a series of…

Q: I. Let the universal set U = {1, 2, 3, ..., 10} . Let A = {1,4, 7, 10}, B = {1, 2, 3, 4, 5}, and C =…

A: According to our guidelines we can answer only first three sub-parts and rest can be reposted.

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

A: Let Z=0, 1, 2, 3 and are the relations R, S and T on Z Given  R=0,0, 0,1, 0, 3, 1,0, 1,1, 2,2, 3,0,…

Q: Q4. Let X = {m,n, pP. 9}, T = {6. X, {p}, {m, n}, {m,n.p}} and Y = {a, b, c, d}. F = {ó, X, {d}. {a,…

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Q: Show that R³ is spanned by S = {(1,1,1), (1, –1, 0), (0, 1, – 1)}.

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Q: esentation for each relation. resentation for each relation. berties of each relation.

A: Given:-  S={0,1,2,3,4,5,6} 1] R1=(a,b):a, b∈S, a&gt;b So in…

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 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 -…