Let A = { a, b, c }.   Let B = { x, y }.   Let C = { 0, 1 }.   Let D = { m }.   List or describe the elements of: D ⨯ C ⨯ B ⨯ A

Q: Let A = {a, b}, B = {1, 2}, and C = {2, 3}. Use set-roster notation to write each of the following…

A: we have to find given opretions in the set roster form. the solution is following.

Q: Let A, B, C, D be sets. Prove that (a) A × (BN C) = (A × B) N (A × C') (b) (A × B) N (C × D) = (AnC)…

A: Given (a) A×B∩C=A×B∩A×C (b) A×B∩C×D=A∩C×B∩D

Q: Let U%3D {а, с, е, һ, т, о, р, s, t, и, у, 0, 1, -} А 3D {с, һ, о, р, s, и, e, y} B = {s, e, t} II В…

A: For the given data Find the given

Q: Given that U = {1,2, 3, ..., 11, 12, 13} A = {1, 2, 7, 12} В 3 3,5, 6, 8, 12, 13} С 3 {1,5, 7, 8,…

A: Explanation: Region I:   2 Region II:  Null Region III:  3,6 Region IV:  1,7 Region V:  12 Region…

Q: Let A and U = H. Then A2017U is equal to

A: The given matrix is A=-120-1 find A2=-120-1-120-1=1+0-2-201=1-401 therefore A2=1-401 similarly…

Q: Let A = {w, x, y, z} and B = {a, b}. Use the setroster notation to write each of the following sets,…

A: (a)It is given that A = {w, x, y, z} and B = {a, b}.

Q: Let X=R. and M = ®, then span (0) = o (0} OR

A: {0} is the correct answer.

Q: Given that z, -[3,0.7], 2₂ [2, 1.2] and z, -[4,-0.5], (a) find z, xz₂ and 2₁ x 23 (b) show that [1,…

A: Given: z1=3, 0.7 ; z2=2,1.2; z3=4, -0.5 find a) z1×z2 and z1×z3 b) Show that 1,0×z1=z1 We know that,…

Q: Let A, = {..., – 2,- 1,0,1,...,i}. Find

A: Ai={..., -2, -1, 0, 1, ......, i} ∩i=1nAi=?

Q: Find the Jocobian for x = u + vw, y = v + wu, z = w + uv

A:

Q: In Exercise 22, let u = PQ\ and v = PR\ , and find (a) the component forms of u and v, (b) u ∙ v,…

A: a) Answer(a): u=(-2,6,-2) and v=(3,6,-3)

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (3, 4), v = (2, −3)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Let S = {1,2,3,4, 5}, G = {(1),(123), (132)}. For each element %3D a e S, find stabc(a) and orbg(a)

A:

Q: Let U, A, B, and C be defined as shown below. U= [ a, b, c, d, e, f, g, h, i, j } A = { d, e, g, h,…

A:

Q: Let a, b ∈ R. Show if a ≤ b1 for every b1 > b, then a ≤ b.

A: Density Property of ℝ If x,y are real numbers with x<y, then ∃ a rational number r such that…

Q: Let f:[a,b]→ R. Which of the

A: Given, f:a,b→ℝ. The function f has domain in the interval a,b and has range in set of real numbers…

Q: Given x = (-1, -2,-2), u = (0,1,4), v = (-1,1,2), and w = (3,1,2) in R', find a, b, and c such that…

A:

Q: Let T ∼ Γ(r, λ). If μT = 8 and r = 16, find λ and σ².

A: It is given that, The value of λ is, Thus, the value of λ is 2.

Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

A:

Q: Show that S = {x* + 1, xª + x, xª + a², xª + æ*, xª} spans PA.

A:

Q: Prove that if R is a P.I.D. and a, b are two non-zero ... elements of R, then [a, b] (a, b) = abu,…

A: [a,b]= least common multiple of a and b. (a,b) = greatest common divisor of a and b.

Q: If R is a UFD and f(x) , g(x) are elements of R[x] , then c(fg) = c(f)c(g), do not copy paste…

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Q: .Use Venn diagrams to determine whether following is true. a. A – (BNC) = (A – B) N (A – C)

A:

Q: Let A- and 8 I Find AB

A: Explanation of the answer is as follows

Q: given: set A = {a,b,c,d} into set B = {1,2,3,4}. which set of ordered pairs represent a bijection?

A: Consider the set S={(a,1), (b,2), (c,3), (d,4)} Here each element of A has exactly one image in B…

Q: Suppose the Cayley table for B = {e, a, b, c}undt the binary operation * is given by * e а e a а а e…

A:

Q: Let V = {cities of Metro Manila} and E = {(x, y) |x and y are adjacent cities in Metro Manila}. %3!

A: Given: Let v= cities of Metro Manila  and E=x,y/ x and y adjacent cities in Metro Manila The…

Q: Find conditions on a, b, c, and d such that AB = BA

A: , We need to find the values of a, b, c and d such that AB=BA

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: Find conditions on a, b, c, and d such that AB = BA

A:

Q: Display within braces the elements of each of the following sets: a) A = {x € N\x < 10} b) B = {x €…

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost…

Q: Let A = and U = Then A2017U is equal to ... B

A:

Q: For(a)and(b), let U={1,2,3, ...,12}, A={2,3,5,7,11}, B={1,2,3,10,11,12}, and C={1,2,3,5,8}.…

A: Given Information -  U={1,2,3, ...,12}, A={2,3,5,7,11}, B={1,2,3,10,11,12}, C={1,2,3,5,8}

Q: Let id (2,-2, 1), d= (2,-1,-6). Find i ,-dand |M.

A:

Q: Let A = 20a, + 15a, – 10a, and B = a, + a,. Find: (a) A · B, (b) A × B, (c) the compo- nent of A…

A:

Q: Create w = (1,3,5,..., 29). Give your R-code to subsequently remove all the components greater than…

A: R-code for the above problem is given as below: w= seq(from= 1, to= 29, by = 2)ww_remove &lt;-…

Q: Let Y = {2019, 2020} and M = {CRV, Accord, Civic} %3D List the elements of Y x M.

A: Given that Let Y ={2019,2020} and M = {CRV,Accord,Civic} List the elements of YxM Explanation :- YxM…

Q: Let A = 1 2 1 and v = If the entries of A and v belong to Z3, what is the third entry of Av? Answer:

A:

Q: Let X = R, and M = Ø, then span (M) =

A:

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

A:

Q: a. If A and B are independent, and A and B are independent, show that A and B are also independent.

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Q: When an automobile stopped by a roving safety patrol, each tire is checked for tire wear, and each…

A:

Q: Let n=23 and consider the following information, Model One: Y = Bo + B1X1 + B2X2 + B3X3 + B,X4 +e…

A: Solution: Given information: n= 23 observation: k= 3 independent variable  R2=0.8685

Q: Let X,Y⊆UX,Y⊆U. Suppose that n(X)=26n(X)=26, n(Y)=24n(Y)=24, and n(X∩Y)=20n(X∩Y)=20. How many…

A: To derive the number of elements in the set X' union with Y , from the given data

Q: Answer the following question. Suppose U = {z |3<= < 15, z € Z}, R= {z | 5 <z < 8, z € Z}, and T =…

A: Note: As per the policy, if a question has more than four parts, it is instructed to answer only the…

Q: Suppose U = {x | 3 < x < 15, x € Z}, R= {x |5 < x < 8, x € Z}, and T={4,7,10, 13}. List the elements…

A: Given, set U=x|3≤x&lt;15, x∈Z consists a set of all integer numbers between 3 and 15 with including…

Q: Compute d(ū, ū), d(ū, w) and d(ū, w) where ū, ū and w are

A: Given: u¯=12-48, v¯=8-241 and w¯=2-418 To find: du¯, v¯, du¯, w¯ and dv¯, w¯ where d is distance…

Q: EF C and 0 are subsets of Y, then %3D

A: Solution for 6: Given C and D are the subset of Y. We have to show f-1(C)-f-(D)=f-1(C-D)

Q: (c) If gcd(a , 133) = gcd(b , 133) = 1, show that 133|al8 b18 %3D %3D

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.