2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

Q: Determine x and y such that 4 -1 -2 x - Y -4 -3 8 -5 -5 4 1 6 2x + y 1

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Q: a (1, 0, 1), b = (2, 1, −1) and c = (1, -1, 4). Calculate |ax (b+c)].

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Q: Let 2x 3x + y 8 7 A = and B : 2у — х xy -7 -6 For what values of x and y does A=B?

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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: Find A x Bx C where A = {4,6},B={14,18} , C = {0}. O (4,14,0), (4, 18,0), (6, 14, 0), (6, 18, 0) O…

A: given A={4,6}B={14,18}C={0}

Q: Find A x B x C where A = {2, 5}., B = {13, 17}, C = {0} . O (2,13,0), (2, 17,0), (5, 13, 0), (5, 17,…

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Q: Determine a conclusion. Choose the correct answer below. the null hypothesis. There is difference…

A: That is, there is no evidence to conclude that there is significant difference between the two…

Q: Let A= [4,7] and B= (1,5) find the following a. A U B b. A n B c. B-A d. A n B^c

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Q: 4. State whether the statements are true or false. Explain. (a) There is an even number multiple of…

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Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

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Q: [1 1) If A = 3 15 2] 4 6] B = [-3 -21 -5 314 4 253 3. [P 91 Find: D = r s tu

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find VW 2x - 7 2x - 14 | U • V. 15

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Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: 1. (a) Prove that if alb and alc. then alb² + 10c + a.

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Q: Given: F(s) = (2s+3)/(s² -2s +5). Evaluate: f(1) Use 2 decimal places. 5.67

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Q: Vxdx 2. For J T-Vx use 4 O u = JA u = x O u = Ja

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Q: Let u = (2, 4) and v = (1, 12) and w=(−6, −4). Find: 12. (v.w)-(v.u) 11. 3(u-w)u 13. 2-u 14.…

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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 u=(2,6,-7), v=(-1,-1,8), and 3. If (2, 14, 11)=ku+lv what is the value of l?

A: i AM GOING TO SOLVE THE GIVEN PROBLEM BY USING SOME SIMPLE ALGEBRA TO GET THE REQIURED RESULT.

Q: Simplify. X y y X x+y 2х y У х x+y 2х II

A: Simplify          [(x/y)-(y/x)]/{(x+y)/2x}

Q: A car and a train leave station A at the same time for station B, 120 miles away. If the speed of…

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Q: Let a, b,c € R4. Prove that c+a a+b b+c c+b a +c b+a Al

A: a,b,c∈ℝ+ab+bc+ca≥c+ac+b+a+ba+c+b+cb+a

Q: Let a = (5,-2, 9). Find ||10||

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Q: i want Z( zero) and Za

A: The known values are, x = 224, n = 237 The sample proportion is,

Q: Evaluate G r. d.x. (x2+1)(x+1) 0.

A: The following integrals are useful, while evaluating the integral that is provided. ∫dxx =ln x +C…

Q: A box has 10 pencils and 5 pens.  Select randomly 3 items from the box.  Let X be the number of…

A: There is two possibilities either the selected item is pencil or not. Binomial distribution will…

Q: For each of the following linear systems, find all solutions by using the LU Decomposition method.…

A: The given system is                                     x1+2x2+4x3=33x1+8x2+14x3=132x1+6x2+13x3=4

Q: QI/ If F = xi+yj+zk find the divF.

A: By see this solution

Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

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