3A, B E {sets} such that A CBAA= B.

Q: Show that if a|b then -a|b.

A:

Q: Prove: | a | - | b | <= | a + b |

A:

Q: Perform. the operatben 0 possible; AxB not A= B= 2 0 3 3 4)

A: The given matricesA=221-1 and B=12-103-4

Q: 8. Let A = {Al, Beth}and B = {up, down, left, right}. Fine %3D

A: # we are entitled to solve one question at a time, please resubmit the other questions if you wish…

Q: Construct a proof that ZEIF = ZGIH. н

A:

Q: Consider the set T = {..., −34, −17, 0, 17, 34, ... } with the usual definition of less than (a0).…

A: Completeness property of real numbers:  Every non-empty set of real numbers that has an upper bound…

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

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

Q: 2. Show that cÃ=cA.

A:

Q: 4 Show that a + B = B +a for all a, BE C.

A: We can write alpha and Beta in general form of element of complex number.

Q: E is closed. - E is complete, i.

A: It is given that X is a complete metric space and E is a subset of X. We have to prove that the…

Q: O, 0) = s not exist

A:

Q: O Determine rand s so that, 3.

A:

Q: Let A, = {..., – 2, – 1,0,1,..., i}. Find ỦA, i31

A: First we find A1, A2, A3,...An, then find union as in next step.

Q: 4. Let b > a > 0. Show that (a,b] is neither closed nor open.

A: Explanation of the solution is given below....

Q: How many elements does the following set have? {{{Ø}}, ØU{Ø}, {Ø}, {{Ø}}} 1 2

A: given set {{{∅}}, ∅∪{∅}, {∅}, {{∅}}}

Q: If A =I then what is A'?

A:

Q: şa,6şc2.Debine a selation I on. pl2) which satisfies. For all set A and B in P(X) AJB ANB+

A: Given x={a, b, c}P(x)={ {a} , {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, ∅}a relation onJ: P(x)…

Q: Describe the elements in Q(π).

A:

Q: determine whether set s={(2,1),(-1,2)} spans R^2

A:

Q: Exercise 4.7 Consider n observations for which yi = a + bxi, b > 0), holds. Show that r = 1.

A: Given that there are n observations. yi=a+bxi

Q: Derive k, kkg and ky fourth order Runge Kutta methed-

A: Range Kutta

Q: (a, b) is measurable.

A: The answer is given as follows :

Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}] Show that A, H and G are mutually disjoint

A: Note: " Since you have posted multiple questions. we will solve the first question for you. To get…

Q: az Q.7 If z(x + y) = x2 + y?, show that lax = 4 ду. - +(1 - ax ду.

A:

Q: Show that if a \ b and gcd(b, c) =1 Then gcd(a,c) = 1

A:

Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

A:

Q: 7. Show that (a). (Z, +) # (Q, +). (b). (Q,+)# (Q\{0},.). (c). (R\{0},-) # (Q\{0},.). (d). (R\{0},-)…

A:

Q: Describe the elements in Q().

A:

Q: a) What is the support set of X? b) Write out the PMF of X. c) Compute E[X].

A: Cumulative Distribution function (CDF) : The cumulative distribution function of a discrete random…

Q: The set {1,2,3,4} is open .A O closed .B O neither open nor closed .C O none of above .D O

A:

Q: O Given 20 balls of different colors and 10 bananas, find the number of ways to distribute i-The 20…

A: As per Bartleby guidelines, we are advised to answer one question at a time, I have given you the…

Q: have the following properties:

A:

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: o Let A-

A: The given matrix is : A=1-111 Calculate the value of norm A∞. We know the formula of the infinity…

Q: ao + 2a1 + a2 - azz²) = | da0 + 7a; + 5az 3ao + 5a, + 5a2, Let T(ao + a;7 - Determine ifT is…

A:

Q: Let, aj = 3 and for n > 2, an = 2an-1 +1, express a, in terms of n.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Let A1, A2, ... , An be any n sets, n 2 1. Show that (U-1 Ar) = U=1 Ar %3D

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 <-…

Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: The set {u1, u2, u3} is orthonormal. 1 2 V5 V5 1 2 1 2 10 ,U2= ,u3= 10 1 2 1 2 10 10 True False

A:

Q: Let A = {a, a, b, c} and B = {a, b, c}. Prove that A = B. Thus, the number of times an element is…

A: Given A={a,a,b,c} and B={a,b,c} we  have to show that A=B, for  this we will show that A⊂B and B⊂A…

Q: Show to put nowi

A: The sample mean from a group of observations is an estimate of the population mean.

Q: Let A = {a,b, c} and B = {b, c, a}. Prove that A = B. Thus, the order %3| in which the elements are…

A: The given sets are A={a,b,c} and B={b,c,a}we have to show that A=BResult : two sets A and B are…

Q: Given u = (-4,7) and v = (5,2), compute the following. Give your answer in the form . a. u + v =| b.…

A:

Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В 3D {3, 1, 9, e, а, с, 0}, and С %3D {2, с, 10, 9, 8, —4,…

A: Using the definition of intersection, union and difference between two set

Q: Find n(A) for the set. A = {300, 301, 302, ..., 3000} %3D

A:

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

A: