Question 3. Consider the relation R(ABCD) with AB as a candidate key, choose the FD so that R should be in 2NF but not in 3NF.

Q: Let G= Z* and let * be an operation in a * b. Is a * b = ab/2 is closed under the operation?

A: Disproof by an example.

Q: Question 13 How many elements are there in the relation R on the set {0, 1, 2, 3, . . . , 100},…

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Q: Show that MnXn and Rn^2 are isomorphic.

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Q: is not isomorphic to Qi Show that (R. +) (R-1R , )

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Q: Consider the ODE system x' = A et + 3 with A = 4 1 3 a) Use the method of diagonalization to find…

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: a) If u = 1- make i the subject of the relation. b) (*) 2. 4. 6. 8 4. 6. 2. 4. 4. 6. 2 4. 6. 8 4.…

A: Group theory

Q: 2.4 (Ross, 2003, page 593) Show that the relationship $ (x) = x;¢(1;, x) + (1 – x;)ø(0¡, x) is true…

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Q: prove that 2. catX+c

A: We use that- sin2x + cos2x =1  so that 1-cos2x= sin2x

Q: Represent in the Argand Diagram all such z for which |z+ 12 - 5i| < 6

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Q: 1 In the relation . If R, =1 and %3D R R R, R,%3D3, find R.

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Q: Prove that the following relationship is true: nCr + nCr + 1 = n + 1Cr + 1

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Q: Let x ∈ Rn. Show that ||x||∞ ≤ ||x||2.

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Q: Question 5 Use the Cauchy-Schwarz inequality to show that if a1, a2, . .. , an are positive real…

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Q: How did they calculate what T does to the elements of B?

A: You want to know "How did they calculate what T does to the elements of B?" We have  B=1, x, x2, x3…

Q: C. Let T be defined onN N by (a, b)T (c, d) if and only if a c and b 2 d. Write down the full nature…

A: We will use the basic definition of reflexive, symmetric, antisymmetric and transitive realtion.

Q: (a) Find adj A. (b) Compute det(A).

A: Given A=213-1203-21

Q: Let x, y EZ. Prove that 3|xy if and only if 3|x x or 3 y.

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Q: b) If d = 1, prove that (1 if a is odd gcd(a, 2b) %3D if a is even

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Q: QUESTION 4 A. Convert the binary number 111010101.110111 to hexadecimal. B. Determine the power set…

A: Since you have ask multi subparts question. So, according to guidelines we are solve only first…

Q: a) Describe the series of transformations to transfrom AABC onto AA'B'C".

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Q: Let gt): csc (U) for Oct C! and CSC 2- 13/2- 2 How do I find fogle)

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Q: 18. Let xo < x, < x2, let {yo, y, y2} be given. Find the polynomial q(x) with deg(q) < 2 and such…

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Q: f is said to be a if it is both one to one and onto. That is, there is a one to one correspondence…

A: f if said to be a------- if it is both one to one and onto.

Q: Find the string that has this generating function: a) (1− x)−3 b) (1+2x)−4 c) 1/(1 −3x)3

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Q: Let f(z) be an ODD fanetion. If the point (2,3) belongu to f, then another point likely to (0,0) (2,…

A: Given f(x) is odd function.

Q: Prove that all elements in S are multiples of 3. by Structualindrction 3ES X,Y ES > (X y )ES

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Q: verify that (AT )T = A

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Q: (b) Use part (a) to show that f (T) is either a transposition disjoint transpositions. or a product…

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Q: A. Let R be a relation on set A. A={x : x E J and 0sxs 12}, and R={(a,b) : la - b| is multiple of 4}…

A: There are two questions given and it is discrete math. The solution to the above questions is given…

Q: 3. Suppose that BE Mxn(C) and B = 0. Show that I-B is invertible. Hint: Consider I+ B+ B.

A: Given : B is an n×n complex matrix with  B3 = O , where O is zero matrix. To prove :  I-B is…

Q: (1) Use the definition to prove that if xn → 2 then (2xn + 1) / xn → 5/2.

A: As per our company guideline we are supposed to answer only first three  qs, kindly post remaining…

Q: R^n×n is invertible, show that AB is similar to BA for all B ∈ R^n×n.

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Q: Prove that if gcd(a, b) = 1 and gcd(a, c) = 1, then gcd(a, bc) = 1. %3D

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Q: Let a = 8 and b = 9. Find m,n E Z such that am+bn =1.

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Q: 1. Let A = {x E Z | 6 divides x} and B = {x € Z | 3 divides x}. Prove that A C B, and then prove…

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Q: Prove that Co +2C, +4C₂ +8C3 +..... +2 °C₁ = 3^

A: Given problem:- Prove that C0 +2C1+4C2+8C3+...... + 2n nCn =3n

Q: If Ea, is divergent and 2b, is divergent, then E(a, + ba) is divergent.

A: Taking an example and than we are trying to understand tha statement.

Q: Suppose that operatorậ & ậ* in H= hw. (a*3 +) obeys anticommutation relation {ậ, ậ*} = ậa* + â*â = 1

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Q: 4. Assuming that gcd(a, b) = 1, prove the following: (a) gcd(a +b, a – b) = 1 or 2. %3D %3D

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: The identity element of binary operation defined on ℝ by x * y= xy  is

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Q: Represent in the Argand Diagram all such z for which |z − 5i| > 8

A: Any complex number:z=x+iy can be represented in the argand plane. For any complex number:z=x+iy, it…

Q: 6. State the congruence relation for AABC and ADEF. A. SSS B. SSA 4. C. 4.5 E С. C. AAA 4.5 D. SAS…

A: Given, ∆ABC  and  ∆DEF      We have to write the congruence  relation for ∆ABC  and  ∆DEF

Q: The elimination of ci and c2 gives the relation Yk 1 1 2 0, (1.53) Yk+1 4 Yk+2 25 which, on…

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Q: Prove that for а + —1,а > 0, пENis (1+ а)" > 1+ па.

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Q: Let d = gcd(a, b). If a = da' and b = db', show that gcd(a', b') = 1.

A: Let gcd(a'b')=1 since d= gcd(a,b), there are integers p,q which satisfy the equation as: pa+qb=d

Q: (Chapter 3.2. Ex.# 49) Show that if fi (x) is O(g1 (x)), f2(x) is O(g2(æ)), and f2(x) # 0 and g2(x)…

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Q: Find A' for the given choice of U. If A={positive integers}, U=Z

A: We want to find  A' for the given choice of U. If A={positive integers}, U=Z

Q: Let f and g be any permutations. Show that the order of h=fgf^(-1) is the same as the order of g.

A: