Is it true that if a, < b, for all nE N and E-1 a, is divergent, then E-1 bn is divergent? If false give a counter example.

Q: _If A = Verify that [A-!]" = [A"]¬1 ? l1 2.

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Q: Letting aa and bb be two positive real numbes such that ab=lab=1, which of the followings is true?…

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Q: a a +1 2² (² + ¹ + x² = 1 [(¹-x)² + (1 + x)² ] F1 2 2 2

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Q: Is it true that the rank of [B AB If not, under what condition will it be true? A"-B] equals the…

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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: • G= *-3 ) • G = , det (G) = 10 %3D 4] Then x=12 O A) TRUE O B) FALSE

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Q: 7 and N{B} 3 and N(A U B) = 10, how are If N{A} A and B related?

A: Given: NA=7, NB=3, NA∪B=10 We know that if NA+NB=NA∪B then there is no common element exist in Aand…

Q: Which of the following is TRUE about the given in Example 2 of the video below? Derivative of…

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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: For which of the following is it true that n(A) + n(B) = n(AUB)? a. A = {a,b,c}, B = {a,b} b. A =…

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Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

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Q: 11 If A (n)= 7n-23, what is the value of a,? Your Answer

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Q: Is Statement (1) below True or False and WHY? TEA=B is equivalent to "TEA IFF TE B"

A: Let us provide justification and check whether both equations are equivalent or not

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: [1 2 3] ii) Let A = 4 5 6 and B = 5 L78 5] L3 of C32? [-5-5 71 [C11 C12 C13 - 2 4. Suppose BA = |C21…

A: First we state the general formula for multiplication of two matrices and then solve this particular…

Q: Reject Ho if |z| > N

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

Q: Suppose the multiplication cx is defined to produce (cx1, 0) instead of (cx1, cx2 ). With the usual…

A: The multiplication cx where x∈ℝ2 is defined as cx=cx1, 0 because x=x1, x2 where x1 and x2 belong to…

Q: Lambda, Gamma, and Pearson's r are all based on the logic of the Proportionate Reduction of Error.…

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Q: Show that A × B ≠ B × A, when A and B are nonempty, unless A = B

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Q: Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n.

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Q: с. In(х + 2) +Inx —D In(x + 12)

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Q: Negate the statement: For all positive integers, n, there exists a positive integer, k, so that…

A: The negation of a statement is:- Statement:- p implies q. Negation:- p does not imply q.

Q: Let, a1 = 1, a2 = 2, b1 = 0, b2 = 1, for n > 3, 2an-1+ bn-1 for n 22 bn = bn-1+ an-1 an express an…

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Q: . Let A = 1 03 2 3 4 1 02 Find A-¹ if possible. If A−¹ does not exist, explain why.

A: Given that a matrix A  and we find the inverse of this matix A or A-1.