If a (b,v,r,k,lambda) design is symmetric with lambda=1, then there exists an integer n such that the design has parameters (n2+n+1, n2+n+1,n+1,n+1,1).  Hint:  Solve for b and  v in terms of k.

Q: 13: Factor out, relative to the integers 2 1) 3 y - 8 y - 3 4) 6 x ? + 48 x 72 2) 4x2 - 20x + 25 3)…

A: According to guidelines we should have been able to solve only one question #1 #2

Q: Let A be 4x4 and det(A)=3. Then det(24)=. and det (A" A)=.

A: Given A be a 4×4 matrix and detA=3

Q: consider this nathmatical machine ifthe inpuut is x then the output is 4=I! Input cusout multiply by…

A: Simple do the operations step by step. Got the final result will be the output

Q: 3. Consider the statements below. (I) For each b in Rnı the equation Ax = b has a solution. (II)…

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Q: 2k 2k +2 3k +1 3k +4 k=1 2 а) 3 b) 0 c) 6 1 d) e) Diverges. ||

A: Given series is  ∑k=1∞2k3k+1-2k+23k+4 where ak=2k3k+1-2k+23k+4 the above series is telescopic…

Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: Show that Sn is solvable when n ≤ 4.

A: Given: Sn. We have to show that Sn is solvable when n≤4.

Q: -64m12+ 24m10 1) 4m

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Q: Submit through Canvas as indicated. T u = (2,-5) and v= −3i+7j

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Q: 3 Let x = (9, −9, −4) and y = (-6, 6, -9) be in R³ and a be in R. Then ax + y = ( ,23).

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Q: 7. 2) Write the difference equation for the systems shown below. ii) Find yon) / xen). yon) x(n) 3…

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Q: 3. Find mzRQS. R 7x +4 S 3x+ 9

A: The objective is to find m RQS.

Q: Calculate Vv and V x v. a) OV-v=-2x²yz and V × v = 0 b) OV v = 2yz + 3 and V x v = -2xi+ 2xyj +…

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Q: (a+b)(a+ba)(ao³ + bw) = a' +b*

A: The question is wrong. Ask your guide for correction.

Q: if u=3i+2j and v=-5i+4j determine 3u*2v

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Q: Factor completely. qs - 8s + qf - 8f qs - 8s + qf - 8f =

A: We have to complete factor

Q: The set of polynomials {1, x² + 3x“, 2x² – 7x4} is a linearly independent set in P4.

A: NOTE: Due to time limit answer of 1 is given here, for other please ask in a different question.…

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: Let u=(9,−8)​, v=(1,9)​, and w=(−2,7). Carry out the following computation. Find u+v+w.   |u+v+w|=?

A: Given that  Let u=(9,−8)​, v=(1,9)​, and w=(−2,7) To Find u+v+w.

Q: 2x + 5y+Z= メ+y+2z=L X + 53 = 3 22=2

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Q: Sole the ff ty Cramer's Rule 4x + + 2 +W 9. 3x + -Z +w - ty -52 + 8w =-3 7x + 4 + z + 2w = 3

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Q: 2. (15) Find GCD(172, 16), GCD(994, 217) and GCD(5621, 825).

A: The objective is to find the GCD of the following numbers. a) Using Euclid's division lemma method,…

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: Quadrilateral ABCDABCD has vertices A(3,6)A(3,6), B(−4,9)B(−4,9), C(7,−5)C(7,−5), and D(1,1)D(1,1).…

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Q: 11) Find x if ST=x+3 and SU=2x/

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Q: what is  c-2d

A: We have to find      value of c-2d

Q: If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:

A: There are three equation given 7xy + 5yz – 3zx, 4yz + 9zx – 4y –3xz + 5x – 2xy

Q: Suppose the second column of B is all zeros.  What can you say about the second column of AB?

A: If the second column of B is all Zeros, then the second column of AB will also be all Zeros.

Q: U(9) has how many elements?

A: We know that- U(n) is the set of natural numbers  that are less than n and coprime to n.

Q: 7. Factor. a) 12m?n3 + 18m³n² b) x2 – 9x + 20 c) 3x2 + 24x + 45 d) 50x2 – 72 9x 2 e) – 6x + 1 f)…

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Q: Indicate the least integer n for which (3x⁰+2x²)(x³ +3x) x+14x € 0(x¹).

A: Given: 3x6+2x2x3+3xx4+14x∈Oxn To find: Least integer n for which the given condition holds.

Q: x+5 b)S (x²+5)3

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Q: The G.S for Əxəy is اختر احدي الدبابات z=cify + 2x) + czf(y- 3x) a. z= Cfy+2x) + czf(y -x) b. z=…

A: The solution is given as