Prove that RQ is uncountable.

Q: Why must nCr always be less than or equal to nPr for any given n and r

A: Permutations and combinations are given.

Q: If A = (; A-: )-..R. e M2x 2(R), find A" for any positive integer n.

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Q: Please prove statement below by CONTRADICTION

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Q: Cualuate indfin te ntaen Jett dt

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Q: 6. Prove that if alb and k E Z, then a|(b+ ak).

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Q: Let A = {x € Rx > 5 and x 15 and x 8 and x < 12

A: Given:- A=x∈R|x≥5 and x&lt;18 B=x∈R|x≥15 and x≤22 C=x∈R|x&gt;8 and x&lt;12

Q: Are u sure its not 1

A: It is given that a=0 and b=1.

Q: Consider the following. Find Av. Av = A = 10-1 1 1 1 = 7 -1 Complete the following statement. Since…

A: Given that A is a 2X3 matrix and v is 3X1 vector so product is possible. The null space of A,…

Q: Find [ 4x³y dydxdz 6.

A: We have to find  ∫-11∫05∫36 4x3y2 dy dx dz.

Q: If r and s are real numbers and r < s, then there exists a positive integer t such that r+t = s.…

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Q: Consider the following. Find Av. Av= 7 1 10 -1 -HD] 1 1 1 - [3 A = Complete the following statement.…

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Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: 3. Is this sentence consistent? “There is someone who loves exactly those people who do not love…

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Q: A nanodomain is an object studied in the field of mathematical stereotopodynamics. A nanodomain may…

A: A nanodomain is an object studied in the field of mathematical stereotopodynamics. A nanodomain may…

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

A: Dot product gives a scalar value  .

Q: Show that if AB = I, then det(A) 0 and det(B) # 0.

A: Here given as AB=In find determinant both sides detAB=detIndetAB=1

Q: If E, and E2 are measurable then (E,UE) is not measurable .

A:

Q: A library subscribes to two different weekly news magazines, each of which is supposed to arrive in…

A: Given,Let the events be:W = WednesdayT = ThursedayF = FridayS = SaturdayThe corresponding…

Q: does AI = A hold or not?

A:

Q: If z1:2., are complex numbers such that =|= =. = |=,| =1, Prove that

A: To prove: z1+z2+…+zn=1z1+1z2+…+1zn Given: z1=z2=…=zn=1 Since, (1) zz¯=|z|2 (2) z=z¯

Q: 0.39, -Compute the pmf of Y.

A: Let's the events be,The corresponding probabilities are,Let Y be the number of days beyond Wednesday…

Q: 2. Find n and a if: Inx² + In2= In ax"+1

A: Given equation is lnx2+ln2=lnaxn+1. We have to find the value of n and a. Used formula: lnmn=nlnm…

Q: If X =Y (hom oemorphic) and Y has a property P then X has the same property P. True False

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Q: Suppose gcd(a, b) = 1. Prove that ab | c if, and only if a|c and b| c.

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Q: Suppose gcd(ab,c)=1. Prove that abc | d if, and only if ab | d and c | d.

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Q: Let A- r 1 3 2 -1 -3 -1 -2 -6 3 1 find that € Col (A) కం 104

A: Given matrix is A=1302-1-31-1-2-63-1 and b=1a4. We have to find the value of a such that b∈ColA.…

Q: Y D Prox

A: Product of two sets

Q: (2b) Let I = {2,4, 6, 8, 10} and S« = { a | a E I}. Prove or disprove the following statement: "If S…

A:

Q: Suppose x, n ∈ N and n not equal to  0. Then, show that xn is positive if and only if x is positive

A: Given that x, n∈N and n≠0. According to question, N=0,1,2,3,4,5........ First suppose xn is positive…

Q: Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

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Q: Prove that if A ⊆ B and both sets have minima then min B ≤ min A

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Q: Prove or disprove that if (A U B) C (An B), then A = B

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Q: Let A =| 0 -3 0 . Compute A“. 5

A: A=2000-30005 Now,…