In Excrcises 9-18 mark each statcment True or Falsc (T/F). Justify cach answcr. 9. (T/F) If vi.... ,Vp are in R" and if the set {vi-V2, V3 – V2....,Vp-V2} is linearly dependent, then {v1.....Vp} is affinely dependent. (Read this carefully.) | in DA iben

Q: Let U = {1,2,3,4,5), A = {1,3,5}, B = {1,3,4), and C = {2,3,5). (a) Find A U (BUC). (b) Find (AUB)…

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Q: b let fl) = an+b and g) = Cn+d where a,b;c and d Constant. Detemine for which constant a,b;c and d…

A: The objective is to find the constants a, b, c and d such that fog=gof where fx=ax+b and gx=cx+d

Q: Problem 4.70. 1. Construct sets A, B, and C, and functions f and g that show that fog can be…

A: Let us consider the sets

Q: 2.5.22. Let A, B,C be three sets. Prove that if A \ B C C, then A \C C B.

A: Given: Let A,B,C be the three sets. A-B contained in C

Q: 18. In each part, let T₁: R3-R² be multiplication by A, and let u,= (0, 1, 1) and u₂=(2,-1, 1) and…

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Q: 10. S = {x² + 3r + 1, 2x² + x – 1, 4.x + 1} is: a. a linearly independent set of P2. b. a linearly…

A: There is no specification given for P2. If we talk onto the set S then this set is linearly…

Q: 13. Find the Cartesian product A x B of the sets A = {12, 9, 10} and B = {14,4}

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Q: ofind all voots ecilmal Places.

A: Use Newton's method to find all roots of the equation correct to 6 decimal places1x=1+x2

Q: 3. Describe span S if: a) S= {(1,1); (2 ,6); (7,12)} b) S= {(1,0,2); (3,2, –7); (–1,–2,11)} c) S=…

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Q: If ACB then (UNA)U(BNA)=B. TO نقطة واحدة If X = (A, A, = (-1- i,1+i), iEN }, then nA = empty set. F…

A: 1 If A⊆B. Check whether U∩A∪B∩A=B Take LHS  U∩A∪B∩A=A∪B∩A    ∵[A⊆U]=A∪A          ∵[A⊆B]=A The…

Q: and -5 Compute ū - v. 2

A: Given    Formula :

Q: 20 Let A = 11 then A-1-

A: Given: A matrix A=2011. To find: A-1

Q: 2.If alb and alc then al Cbx tcy) for all X>YEZ.

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Q: (d) List all outcomes in the event D that exactly two vehicles go in the same direction. D = (e)…

A: See the handwritten solution

Q: Given F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD, express F(A,B,C,D) and F '(A,B,C,D) in…

A: Solution: Given that F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD Now, truth table Row no.…

Q: 2.44 Show that if a vector is in the span of a set then adding that vector to the set won't make the…

A: The given statement is " if a vector is in the spanning set then adding that vector to the set would…

Q: 1. Determine whether the vectes (,2,3), (3,3,1), 3,1,2) in R?. indefendnt are

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Q: If #: $ a,b,c} which of these celations are a funchion? Emplain, cab) CS

A: Solution : Given :    A= {a, b, c}  Set of relations are      a)    { (a, b), (b, c), (c, c) }…

Q: Blank 1 is movement of a side of a preimage parallel to that side with respect to one other fixed…

A: We have to fill the blanks.

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: If A is diagonalizable then A is diagonalizable. Select one: True False

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Q: Derive the eauation of the natu Val cu bic TnterPolat ing sPline for the falowlhg (1,!) , (2,1),…

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Q: Show that a,b,c are in A.P. If x is the G M be tween a and b and y is the G M between b and c,  then…

A: We have to show if  a, b, c are in A.P.,  x is the G M be tween a and b and y is the G M between b…

Q: Ema thinks that (u) xw, exists. Paul disagrees with her. Who is right? Explain why.

A: Dot product gives a scalar value  .

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

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Q: ューう -10 ーーーン - -2- つ ()ト 10 15 (-3-7)

A: We will find the slope of the given two lines by the given formula. And then compare the slopes to…

Q: Let A, B, C subset U. Suppose that n(U)= 90, n(A)= 40, n(B)= 55, and n(C)= 20. Which of the…

A: Answer

Q: -16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

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Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

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Q: Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 72 percent order a soft…

A: Given information- Percentage of the customers order a square pizza = 0.50 Percentage of customers…

Q: Exi meaning collecting of x set * True False

A: £(Sigma)Xi means  summation of all given data so we can not say that this is collection of set  We…

Q: 2. Let f and g be any permutations. Show that the order of h = fgf- is the same as the order of g.

A: Here f and g are tow permutations  and we are given that h=fgf-1. We have to show that both f and g…

Q: 10.

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Q: From fundamental property relations, proof the following equation is valid. %D | T.

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Q: 6. Assume that A, B, C, and D be sets. Prove or disprove each of the following stateme (a) An (B-C)…

A: As per our company guidelines we are advised to solve first 3 sub parts. Kindly repost the remaining…

Q: The probabil ariable x is a om this dens Is between

A: From the graph it is evident that random variable X follows uniform distribution with parameter 0…

Q: 8. If W = and V =, compute W x V.

A: To compute w*V from the given vectors.

Q: Determine the, 5 a.) E [3xyi - 10] |=1

A: Sum

Q: -> Is 2-4 an cigenvalue of -1 1. 3. 2. 3. -3 find one coRepanding eigenveiloce so

A: For a matrix A the eigenvalues are given by the solutions of the equation det(A-λI)=0. The equation…