a Given (Q*,*) with Va, b E Q, a * b a. It is * a law of internal composition? b. It is * associative? c. Has identity * in Q? d. Every element of Q has an inverse? b

Q: Given: AMAN ~ AFRY Complete the correspondence statement: AN FR FY

A: use property of similar matrix

Q: We know -that in a gDoup, ab and ba can be different. what about the order ab and ba ? cas of {t' is…

A: Let G be a group and a be an element of G. Then the smallest positive integer n such that an=e is…

Q: D prove tHhat kin

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Q: 1- Evaluate (a) 1+4xy dady rsin'e dedr dyda

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the deri votive e

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Q: Theoreng. del I.I..Inare iIealsof aning R The Ris interiadird samof IT Tn OR-T+It iff 17 +In

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Q: Let o+ a eR and let G= {na| nez} ,then (G, +) is an abetian gronp. ( Hint: the identity element is…

A: Let 0≠a∈R and let G=na|n∈Z, then G, + is a group if the following properties are satisfied. 1.…

Q: 27. Show that if a > b, and a, b + 0, then b-l > a-1, provided that a and b have the same sign. What…

A: a > b  ⇒ a - b > 0 Divide both sides by ab      (a - b)/ab > 0 ⇒  1/b - 1/a > 0  ⇒…

Q: If D =diag(λ1,λ2,...,λn), show that for every positive integer k, Dk =diag(λk 1,λk 2,...,λk n).

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Q: If AB = I and BC = I use the associative law to prove A = C.

A: Given  AB= I                  ........(1) BC= I                  ........(2)

Q: the Pasition at if when X=2, O= 25

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Q: Using membership table, prove the following identities. 1. AU(ANB)=A 2. A=(AUBUA 3.…

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Q: On the operation on S={A,B,C}. given by the table A В C A C A В В A В С В А С Select one: a. not…

A: Definition:- A operation * is said to be commutative if for any two elements say A,B  A*B=B*A holds.…

Q: O Determine rand s so that, 3.

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Q: elGiven the resier Ź l-r).shoa coliethes If convesgen Od it divesgev.ff it conveager detesmine H um.

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Q: Let X={a,b,c} and S={a,b} then sigma engereted by S ??? Sigma(S)??

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Q: Let G = Z¬ÐU(5). The identity of G is O 7 O 28 35 O 12 O 5

A: We know that U(5) is isomorphic to Z4.

Q: and only if a = e O a^4 = e a^2 = e O O

A: suppose that f:g->g such that f(x)=axa then f is a group homomorphism if and only if  a. a = e b.…

Q: let A, B and C three are OVerlapping Sds anly using Venn that (B-u(e A) diagrom Show A-B

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Q: 1 Which of the following is the inverse of ? 4 6. none of these sjw uin

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Q: In (R, Tcoc), if A = {0, 1} then A' = %3D O {0, 1} O (0,1] OR-0,1] OR

A: Any complement of a countable set is open. That idea take us to the answer.

Q: Evaluate: o So So (x+y+z) dzdydx O 1/8 O 1/4 O 1/12 O 1/24

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Q: C. The following ec them to identify the

A: eee) Given,                   4x2+9y2+z2=36              ...(1)section x=0, y=0, z=0.…

Q: 8. A recent survey askec According to the surve for a raise; and of tho raise. If a woman is se a. P…

A: Let the two events be defined as : A and B such that, A = asking for rasieB = got a raise a.…

Q: Prove if a e G, o(a) =n, then a = reN GCD(n,r)'

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Q: Given (N,*) with Va, b e N, a * b = gcd(a, b) a. It is * a law of internal composition b. It is *…

A: Let G be a non-empty set and * be the operation defined on G. Then Law of internal composition: a, b…

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Q: Prove: If a < 0 and b > 0, then | a  + b | < | a | + | b |

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Q: l=cscr, then / Seec oe A-1 ANdelred 01 Nore af these

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Q: If In a = 2, In b = 3, and In c = 5, evaluate the following: %3| (a) In 64c2 = (b) In va'b*c³

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Q: Use C.P. and/or I.P. to prove the following. (A ∙ O) ⊃B B ⊃~O A ⊃O…

A: We have to prove using I.P.

Q: Disprove: For all integers a,band c, if a|(bc) then a|b and a|c

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Q: Provethe following property of transpose given. (cA)t = cAt

A: To prove the property of transpose (cA)t = cAt

Q: Considering only the values of B for which csc Bcos (26) is defined, which of the following…

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Q: Let A = {{1} , Ø}, then O{Ø} C A, Ø CA O{Ø} Z A, Ø C A O{Ø} Z A, Ø L A O{Ø} C A, Ø L A

A: In this question we have to solve a set A.

Q: "x is in A"  and "x is in B"

A: " x is in A intersection B" is same as " x is in A" and " x is in B".  For "x is in A union B" is…

Q: Let (N,*) where a, b, c E N; a * b = lcm[a, b] a) It is a law of internal composition in N? b) It is…

A: Given :  ℕ, *  be the algebraic structure such that  a*b = lcm[a, b],  where  a, b ∈ℕ. To check :…

Q: The value of Az or h in Simpson's Rule is O O b-a T O b-a 2n b-a 3n O (b-a)

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A: The given function is Fx=exsinx, where x∈-π2,π2.  If f'(x)>0 at each point in an interval I, then…

Q: Let a ER. Then la| EP. Select one: O True

A: Given that, a∈ℝ ; where ℝis the set of all real numbers We have to determine whether a∈ℙ.

Q: show that 3. if c then fln)= 1+c + (9) er) if c st (6)on) if c= A (c) G/clifc> C =

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Q: According to statsiosa person will devote 32 years to seeping and watching TV The number of years…

A: The person devotes 32 years to sleeping and watching TV. The number of years sleeping exceeds the…

Q: € C(R) for all a ER, th is Commutatve hat

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A: Given as, Subject Model Present Photo Memory 1 9 5 5 2 3 9 6 3 6 8 9 4 1 6 10 5 5 7 7…

Q: Prove. 'if 0 < a ≤ b, then a2 ≤ b2 and √a ≤ √b.'

A: According to question,Given condition,0&lt;a≤b

Q: Find elements o and t in S3 such that lo|=2, IT|=2 and lot|= 3. How many elements in S4 are there…

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Q: 2. Use a Venn diagram to illustrate the following identity: (A U B) UC = A U (B U C).

A: Given: (A U B) U C = A U (B U C) Associative Laws: For any three finite sets A, B and C; (A U B) U C…

Q: 42 Consider the following diagram. netric definition for 30 AD

A: Given: To be find: value of x and y. Concept: in right angle triangle tanθ=AltitudeBase…

Q: Disprove the following: If x|ab, then x|a or x|b.

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