1.) Show that (A*)* = A and (AB)* = B* A*

Q: g) cos () lim x cos X COS

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 20. Find the area of the segment of the circle below. 15 mm is (-

A: Area of the sector is given by: Area…

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: In a survey of 327 people, the following data were obtained relating gender to political…

A: The provided information is as follows:The total number of people survive is .The data set relating…

Q: b) Show that z, + z, = z, + Z, . 2

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Q: 3. Let A = {1, 2, 3}. What is |A|?

A: If A = {x,y,z}  |A| = sqrt x^2 + y^2 + z^2

Q: (a) Suppose we're interested detecting whether there is a significant difference in the duration of…

A: Introduction Hypothesis is an assumption that is being tested.

Q: Suppose that you randomly selected 21 adults. Assume 25% of the population smoke. Round all answers…

A: Here,   and

Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

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Q: 8) Suppose A E Mnxn(F) is diagonalizable. Let A1,· , Ak be the (distinct) eigenvalues of A. a) Prove…

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Q: lim sup (an + bn) lim inf a, + lim inf b, n→∞ n→∞ n→∞

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Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}.…

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Q: such that EA=B

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Q: Let W = {[ W is not 2a 46 : a, b ER ». Determine whether W is a subspace of R³. a subspace of R³…

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Q: Let I (a, b) be a bounded open interval and f : I R be a monotone increasing function on I. sup…

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Suppose that A = {red,white} and B= {white,blue} Then AUB=.?

A: We know that A∪B = x : x∈A or x∈B

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: Let I (a, b) be a bounded open interval and f: I R be a monotone increasing function on I. (i) If f…

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Q: Let D = {2, 4, 8) "For every z D, 2x¹ €

A: Given that set D = { 2, 4, 8}  And statement is  " For every x in D,   2| x". We need to check that…

Q: -1 -2 -3 -4- 1 2 Let A = 1 1-

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Q: 2. Let C be the circle |z −1 < 2 taken in the positive sense. Evaluate the following integrals:…

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Q: 61 8. (*+1)

A: Please refer the attached image for complete solution.

Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

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Q: (b) Prove that E-o(-1)* )= 0 for all positive integers m.

A: We have to prove ∑k=0n-1kkn=0 for all positive integer n

Q: Σ Find the smallest number n of terms needed to obtain an approximation of the series 10 n = 5 6…

A: The answer provided below has been developed in a clear step by step manner.

Q: -) Let dim(V) = n. Let T : V → V be a linear operator. Let W1, W2 C V e T-invariant subspaces.…

A: given dimV=n , W1,W2⊂ V be a T-invariant subspace. suppose V=W1⊕W2 let β1=w1,w2,....wk be an ordered…