Determine which of these relations are symmetric. The variables x, y, x'y represent integers. OA. Ry if and only if r yl- O B. xRy if and only if x + y is even. O C. Ry if and only if ry 2 0. O D. rRy if and only if ry is negative. OE. zRy if and only if a-y is positive.

Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

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Q: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: Let Find M13 and C13. M13 = C13= ND MI A = -1 -3 0 0 7 1 8 8 9 4 5 0 -6 7 -6

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Q: Anikwenie 46. If P(A) = 0.5, P(B) = 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is…

A: Given that P(A) = 0.5 P(B) = 0.40 P(A U B) = 0.70

Q: Let C(-6,3) and D(3,0). Determine which is larger: ||CE|| or ||DE|, if E(-2,1)

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Q: 5. Find all values of h so that is a linear combination of and 4. O h=0 only Oh= 2 only Oh=-2 only…

A: We need to find all values of h so that (h04) is a linear combination of (1-10) and (138) to do that…

Q: -1 -2 -3 -41 1 2 3 Let A = 1 2.) Find adj (A)

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Q: Determine which of these relations are reflexive. The variables x, y, x', y' represent integers. A.…

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Q: -275 2. Let A 013 -135 Find the adjoint of A.

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Q: 4. Suppose Rand S are symmetric relations on a set A. Prove that RoS is symmetric iff Ro S = So R.…

A: Suppose R∘S is symmetric Let s, r∈S∘R ⇔r, s∈R∘S⇔s, r∈R∘S ( since R∘S is symmetric)  So, R∘S=S∘R

Q: Suppose A = if A and AT have different left null spaces, then 3. O a. a=0 O b. a=1.5 O c. a= 6 O d.…

A: We have to solve given problem:

Q: Let ū = (2,3) and i = (5, 2). Find ū . Select the correct answer below: O (-3, 1) O (7, 5) O (3, –1)…

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Q: 6. If -2 determine all values of x and y for which A= A.

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Q: T T T F 29. If x and y are real numbers and x² < y² then x < y. F 30. Let A, B, C and D be sets with…

A: We have to check whether the given statement is true or false.

Q: (b) Let A and Bị be independent; similarly, let A and B2 be independent. Show that in this case, A…

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Q: Let a = [1, -3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)

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Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

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Q: Let u = = (–3, 3, 5) and v = (−6, −4, −7). Compute the following: ū X x v = v × x ū x ū ū=

A: Please note that as per bartleby guidelines, we need to answer only the first three sub-parts.Kindly…

Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

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Q: Determine which of these relations are symmetric. The variables x, y represent integers. OxRy means…

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Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: Let A, B, and C are three sets, prove that Bx(AUC)=(B× A)U(B×C)

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

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Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: Hew.2 Exfress the Summ ef the Vecturs AB and if ACl,-1)_, B (2,022C(-l,3) and D(-2,2).

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Q: Let v = (5, 1, 2) and w = (4, –3, 6). Find each of the following: v+ w, v– 3w, || v||, || v – w ||

A: Solution: The objective is to find the required values

Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: Let A {a, b} and B = {1, 2}. Give an element of A x B x A.

A: Let M and N be two sets. The Cartesian product, M×N is the set of all possible ordered pairs with…

Q: Determine which of these relations are transitive. The variables x, y, x', y' represent integers.…

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Q: Determine which of these relations are symmetric. The variables x, y, x', y' represent integers?…

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Q: {1, 2} and Y = . List elements of each of the Part IV. Let X = (а, b, с} following set. 1. ХxҮ 2.…

A: Given: X=1,2 and Y=a,b,c, To determine:  X×Y Y×X X×X Y×Y