Let 1 1-1 -1 1 1 1 1 -1 1 1 -1 -1 -1 1] A = Which one is tr(A" A) O a. 12 O b. -16 O c. 16 O d. -12

Q: 2 Let A= then det(3A") = 6- -2 - 18 -6

A:

Q: Question#1: Show that the following is logically equivalent by using theorems. (PA(-PvQ)v(P^Q)=P

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Q: B. Illustrate the following sets above in Venn 1. A' 2. BUE 3. FnD

A: Ac =U\A ,where U is universal set. Since the Universal set is not given, Ac can not compute by…

Q: In oH, ZJHK E LHM. Select all the statements that must be true. O A. ALHKEAJHK M B. ML = JK H O C.…

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Q: mal Ereena se ') If x and ch thae ne4 piore that tleaet a vation al numberbetween se x and are Rol…

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Q: * If HO: u=30 HA: µ #30 O HA: μ 30 Ο all above O dont of them O

A: Given  Null hypothesis Ho: μ=30

Q: det(AB) =det(A)det(B). Select one: OTrue O False

A: If C=abcd , then det(C)=ad-bc .

Q: explain these results in APA 7e give as many detail as posible Boxplot-Incongruent Condition 35- 15…

A: From the given output of Boxplot We interpret the outcome.

Q: O Find Adi A if A= [5 2 1. 3. 4 6 3 2 3 5 4 1 hnd Adj A if A=

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Q: Is it true that det(A + B) = det(A) + det(B)? If this is so, explain why. If it is not so, give a…

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Q: Prove if a,b > 0 then : a+b>1, to aª + bª 1 > 8

A:

Q: In ([0, о), т оос), if A %3DN, then A'%- Оа. А-{1} O b. [0,0) О с. (0, о) O d. Ø О е. А

A: ( [0, infinity) , Tcoc)  Since it is Co-countable topology. All countable sets are closed in given…

Q: Re(z,€,) = Re(*,)R (z,) O True O False

A:

Q: Let R={y,p}, S={z,p,u}, and T={r,y,p,u,z}, For each of the following questions, enter T if the…

A: Given that R={y,p} ,S={z,p,u} ,and T={r,y,p,u,z}1) R has the element y, but S does not have y in it.…

Q: prove that: DO e de a e +6 2/3 cwhere a, b > o

A: Where a, b>0

Q: determine if the series is absolutely convergent, conditionally convergent, or divergent.

A: Consider the given series

Q: 3.3. Let a, BEC. Prove that la + B2 + la – B|2 2(la|? + |B|?), and deduce that |a + Va? – B2|+ |la –…

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Q: Given: AB AC C. Prove: ABDE-ACFE

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Q: Which of the following is not equivalent to 23 + (-27) - 16- (-32)? O 23 - 27- 16 - (- 32) O23- 27…

A: 23 + -27 - 16 - -32Total ⇒ 12Result: Option IVth• 23 + -27 + 16 + 32   Is gives total = 24   So 12 ≠…

Q: Prove that if AUB= A is true, then AN B = B is also true, AND CONVERSELY.

A: .

Q: According to Bayes' Theorem, letting p = P(A), q = P(B), r = P(A|B), we can express P(B|A) as...…

A: Given that P(A) = p P(B) = q P(A | B) = r

Q: (a) all pistols are to be from the same manufacturer (order does not matter here)? (b) the pistols…

A: A firearm salesman has to display 2 pistols from an inventory of 7 Glock’s, 8 Sig Sauer’s and 5…

Q: (a) In(ax), (b) In(x* + 1), (c) æ In a, (d) æ", (e) In(e" + 1), (f) exp(e" +1), (8) In +1

A: We have to differentiate the given functions.

Q: Which of the following statements stated below is precisely incorrect?

A: here given ,

Q: 1 1 1 A = 1 1 1 is similar to B=| 1 3 3 1 1 1 1 1 1 133 Select one: True O False

A:

Q: Is {3} E {0, {1}, 2, {3}} ??? O True O False

A: Concept:

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: (1 point) If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: al (a) In %3D blc-2 (b) In…

A: As we know that  ln(mn)=ln(m)+ln(n) ln(mn)=nln(m) ln(mn)=ln(m)-ln(n)

Q: Let A = {0, {0}, {Ø, {Ø}}}. State whether each of the following statements is true or false: ØCA {0,…

A: Given A=ϕ,ϕ,ϕ,ϕ

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A: Diseases given in set B belongs to infectious diseases i.e. set A. Diseases given in set C belongs…

Q: O Is the set S=\[1.2], [-4 2. abaris for R?.

A: We know dimension of ℝ2  is 2  this implies basis of ℝ2 contains two linearly independent vectors.…

Q: Prove: Va,b,ce Z, if a|b and a|c then a|(b-c)

A: ab  &  ac This means that b & c are multiples of a. ⇒b=a·k  &  c=a·m     where k, m∈Z

Q: O what ase Ame cdas tvok we first wo cars to elave willpe G Tayuta ond a Bmu in tcaet order?

A: Here given data for 25 cars  Here probability =(no of Favorable)/(total outcomes)

Q: O Ho: H Diff = 0; H, H O Ho: H Diff = 0; H, H Diff >0 O Ho: Holder =H Youngeri Hai Holder>HYounger O…

A: Given : An equestrian enthusiast is interested in the racing times of horses. She believes an older…

Q: o P(A) < P(B), if A is in B. 0 P(A) = P(B), if A = B (i.e. A is in B and B is in A) Please discuss…

A: given that if A is in B then    P(A)≤P(B) now,…

Q: Let c= and D= [7 -1 -2]. 1 - 6 Find CD if it is defined. Other.se, tap on "Undefined". CD = [00)

A: The given matrices are C=04-6 and D=7-1-2

Q: Let det(A) = 5 and det(A + B) = 20. We conclude that det(/+A¬}B) = 15 O True False

A: Given det(A) = 5  det(A+B) = 20  Now by multiplying det(A-1) on both sides  (det(A-1)) (det(A+B)) =…

Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

Q: If X, then Y. If Y, then Z, y is true, So:

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Q: Provided the follow While there are man

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Q: Suppose that In A = 3 , In B = 4 , and In C = 5 . %3D A? Evaluate In ВС

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Q: In (R, t,), if A = { :n E N}, then 3+n I(А) —

A: option (C).

Q: Let A = {1,2} and B = {3,4}. Prove or disprove the statement: “ If C = A × B , then |C| = 4 "

A: We will use the concept of multiplication of 2 sets and then we will find the cardinality.

Q: 2. if f(x)=D x+2 and gu) = x+3. gla)= of メ+) gof and determine if it is one ind and onto [3,00) ??…

A:

Q: Let A = { c, d, f, g} B = { f, j} C= { d, g} Is C C C? True False

A: Every  set is subset  of it self Here C is subset  of C

Q: Which of the following statements is true?

A: Let k be the number of groups, and n be the number of observations.

Q: 4. There exists ARAM and ACPU. Which side in ACPU corresponds to AM? * O RA O AM O MR O CP O PU O uc…

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Q: Let 38c2 312 3 3104 S = 1+ 3°c + 2! 3! 4! If In S = 2187, then find c. 23 O 7 27 31 47 19

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Q: T. det(AB) =det(A)det(B). Select one: O True O False

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.