Does the set S = {(1,2, 3), (0, 1, 2), (-2,0, 1)}span R³? %3D O Yes O No

Q: Consider the sets A = {1,2, 4, 7} and B = {3,4, 7, 10}. C = AU B D= AnB %3D E = A \ B %3D F = AC in…

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Q: Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

A: There are 3 elements in A And there are 2 elements in B

Q: consider the following sets: U = {-5,-4,-3, -2,-1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4,…

A: We have to find

Q: Let U%3D {а, с, е, һ, т, о, р, s, t, и, у, 0, 1, -} А 3D {с, һ, о, р, s, и, e, y} B = {s, e, t} II В…

A: For the given data Find the given

Q: Let U = {u,n, i, v, e, r, s, a, l} A = {r,a, v, e} B = {a,r,e} %3D C = {l, i,n, e} D= {s, a,l, e}…

A: Consider two sets A and B. Now, A ∪ B defines the collection of elements, which belong to the set A…

Q: Consider A = {x, y,2} and B = {w,x,y}. If U = AU B, which set is equal to (B\A)'? Note: B\A = B – A.…

A: Given that: A={x, y, z}B={w, x, y}U=AUB

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (4, 0, −3, 5), v = (0, 2,…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (3, 4), v = (2, −3)

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Consider the set S = {2x² + 1, 2x – 4, 2x + x}. The set S spans P2. If t(a) — 6а? + 6х — 15 € Ра,…

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Q: List all the combinations of four objects x, y, z, and s taken two at a time. What is C,?

A: The objects are given by {x,y,z,s}

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (2, −2, 1), v = (2, −1,…

A: Given

Q: An orthographic projection most commonly consists of 4 different views. False True re to search F4…

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Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (−1, 2), v = (2, 3)

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Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (4, 0, −3, 5), v = (0, 2, 5, 4)

A: Given a vectors,

Q: Find (a) u + v, (b) 2v, (c) u − v, and (d) 3u − 2v. u = (1, −2, −3), v = (3, 1, 0)

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Q: Given sets A and B, how many constant maps are there from A into B?

A: Given Set A and B Let |A| = m |B| =n

Q: find the independent dominating set for : Cn kn m,n

A: A dominating set of a graph G is a set S of vertices of G such that every vertex not in S is…

Q: Find all vahues of a b, c and d such that [: ]-[::] a-b ŏ+a 8 1 3d+c 2d- c 7 6 Select one: O a. a =…

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Q: Find w, x, y, and z so that W X 4 3 8 -3 2 4 -4 |

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Q: If the points P(-4,2, 1) P3(2, c, 7) and P3(-1,1,4) are collinear then the value of c is O 1 O -2 O…

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Q: If a = (2, 0, 2), b = (3, 2, -2), andc = (0, 2, 5), show that a x (b x c) # (a x b) x c. аx (bx с)…

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Q: Let A %3D (a, b, с, d, e} and B %3 (а, b, с, d, e, f, s. h Find а) AUB. с) А — В. b) AN B. d) В — А.

A: follow next step

Q: Which of the following sets spans R? Select one: O a. s = {(1,2, 1), (0,0, 1), (0, 3, 4)} %3D O b. s…

A: In the question it is asked to find which sets span R3.

Q: Show that S = {x* + 1, xª + x, xª + a², xª + æ*, xª} spans PA.

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Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, 4), v = (2, 1)

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: Given: f (x, y, 2) = z0 + 5x*y%z® _ #°yA 2x°y" + 5æ*y®z° – z°y4 ,3,,7.5 .48 3.4 Required: fzay, fzzy

A: Given f(x,y,z) = 2x3y7z5+5x4y8z6-x3y4 . We need to calculate the value of fzxy and fzzy .…

Q: After doing the Northwest Corner Rule, how many supplies would be in the cell (Factory Y, Town C)?…

A: Solution :-

Q: Compute u + v, u – v, 2u, and 3u – 2v if (а) и %—D 5 (b) и %—D V = 3 (c) ) u = 6.

A: (a) Given- u=23,v=-25 To find- The value of u+v,u-v,2u and 3u-2v.

Q: Find (a) u ∙ v, (b) v ∙ v, (c) ||u||2, (d) (u ∙ v)v, and (e) u ∙ (5v).u = (−1, 2), v = (2, −2)

A: u→=-1,2v→=2,-2a u→.v→=?     u→.v→=-12+2-2           =-2+-4          =-6u→.v→=-6

Q: Suppose that A and B are two sets such that n[A] = 5, n[B] = 9, and n[AU B] = 13. If n[U] = 19, then…

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Q: ming sets is linearly independent? *

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Q: What would be the linear equations for the functions, & what would be the graphs?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Express w as a linear combination of u and v: ? = (4,1), ? = (−2, −1), ? = (2, −2)

A: Let w = (4,1) u = (-2,-1) v=(2,-2) we can write this as: u-21 + v2-2 = 41   -2u + 2v = 4 u - 2v = 1…

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: Let U={a,b,c,d,e,f.g,h,k}, A={a,b,c,g}, B={d,e,f,g}, C={a,c,f} and D={f,h,k} 1. Compute: a.) A U B…

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Q: Is i,,3 a linearly independent set?d O Given ū;| and Ĵs 2 2. 2. -3 3

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Q: Find conditions on a, b, c, and d such that AB = BA

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Q: Let X = R° andY = {(0,0, a), a E R} %3D and V = {(0, b, b), be R} Then X = Y V

A: We know direct sum  Y⊕V={(a+d, b+e, c+f)where Y =(a, b, c) and V=(d, e, f)}

Q: Match these values of r with the accompanying scatterplots: -0.997, -1, -0.744, 0.352, and 1

A: We know that positive value of coefficient of correlation (r) shows a positive relation between the…

Q: Construct a Voronoi Diagram for two shops C(-3,3) and D(3,1) T 3 2 3 N | 2 ? 1 2 Add to Cart View…

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Q: Let N = {a,b, c, d}, F = 2ª and P({w}) = ¿ for w ɛ N. Define %3D if w = a, d -1 if w = b 1 if w = c…

A: Given:  The given details are, Let's take Ω={a,b,c,d}. F=2Ω and ℙw=14 for w ∈ Ω.

Q: et f(x, у, z) %3 ху + z', Р %3D (3, 9, 1

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Q: Without graphing, determine which of the followingdata sets are exactly linear, approximately…

A: You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y…

Q: Let A=[t, t?,0]and B=[1 , t² , 0] and C=[2,t³ , 1] find (ABC)`

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Q: Determine whether the following sets in R³ are linearly independent. a. S = 3 [8] 3 3 b. S =

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Q: S = {2,4,6,10,12,20,30,60}. Draw the Hasse diagram of R if xRy iff x divides y.

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Q: Ue he dhe g A IBhdependant APAR ndd) dapandert And Independent. Aand

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Q: EF C and 0 are subsets of Y, then %3D

A: Solution for 6: Given C and D are the subset of Y. We have to show f-1(C)-f-(D)=f-1(C-D)

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.