1 Let v=-2 then the first norm of v equal 7 -3 Select one: O True O False

Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

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Q: 4. Let aj = 9. and b = 63 , a2 = 45 (a) Write b as a linear combination of a1 and a2. b = aj + a2.…

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Q: 3 Let vį = . If u 1 vị and ul v2, then y = -1 -2 a) -9 b) -8 c) 10 d) 9 e) 7

A: We use the definition of perpendicular vectors to find the value of y.

Q: Express the following as a linear combination of u = (2, 1, 4), v = (1, -1, 5) and w = (3, 5, 3).…

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Q: Find w such that 2u + v – 3w 0. u = (2, 5, 7, 0), v = (4, –8, –3, 1)

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Q: 4. Let v = (2,1), and c = (3,2) such that v.r= 4, and cx = 1. then x = c) (9,14) %3D (5.3) D7-10) d)…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Let X=R. and M = ®, then span (0) = o (0} OR

A: {0} is the correct answer.

Q: Let u= (3,-5). v = (-3,6), and w (0.- 6). Express 8u- 2v + w in the form (ab) %3D 8u- 2v + w= D…

A: Let u=3,-5, v=-3,6, and w=0,-6. Express 8u-2v+w in the form of a,b.

Q: - 7 Let v, = 1 6. V3 = -7 and u = 7 Determine if u is in Nul A, where A = V1 V2 V3 6 6 7 6 Is u in…

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Q: 10. Complete the two-column proof. Given: 2 and 25 are supplementary Prove: / || m 1\ 2 3\ 4 5. 6 m…

A: Given angle 2 and angle 5 are supplementary we have to prove line l parallel to m as shown below

Q: Line segment XY is a midsegment of AMNP. Determine whether each of the following statements is true…

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). V = (0, 12) a= b =…

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Q: 9(r, t, г) — 5r(7 — сos(t)) — 82

A: We have to do partial differential here.

Q: Complete the following two-column proof. Given: Z1 = 22, 23 = Z1 Prove: XY || WV Proof: Statements…

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Q: b, c e R such that abc

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Q: Prove if: beR – {0,1} and a– 2b=ab, then b :( 1 a b+1 constans Value | 2

A: Topic:- Algebra

Q: 3. If U and V are such that u; ='x; – A, v; =y, - B, then Cov (U, V) is :

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Q: 13. Given u = and v = , find: a) u + v b) 2u - v c) Ju|

A: Given that u= <-3, 5> and v=<4, -7>   a) u+v = <-3, 5> + <4, -7> = <-3+4,…

Q: 1. Given A'B'C and A C D. a. Prove that A, B, C and Dare four distinct points. b. Prove that A, B,…

A: (a)  It is given that A*B*C  i.e., A, B, C are three distinct points lying on the same line and…

Q: Determine what rule of replacement was used: (~Q v ~ R) ɔ (S ɔ ~ ~ T) .. ~ (Q · R) ɔ (S ɔ ~ ~ T) A…

A: Here  the following   rule is used. ~Q v ~R is equivalent to  ~(Q.R) that is      ~Q v ~R =~(Q.R)

Q: АР 1. Find the point P such that - АВ = r, where A(4,3, –2), B(-5,0,4) and r = NIM

A: As per bartleby guidelines, I can answer only one question. So, please repost the other two…

Q: 2 and v = [*] 21. Let u = Show that is in Span {u, v} for all h and k.

A: We have to solve given problem:

Q: let v =〈−2, 5〉and w =〈3, −2〉. Sketch v, w, and 2v − 3w.

A: Given vector:                   v=-2,5 and  w=3,-2   Algebra of vectors: Let v = x1, y1 and w =  x2,…

Q: Find all numbers z such that Az + Bz² + Cz = D [2 4 21 li 3 B=[i 1 1. A = -2 -1 [2 4 2] C = 1 3 1 -1…

A: Find all numbers z such that Az3 + Bz2 + Cz =D Given matrices,                              A=242131…

Q: the e given by Sup1ゴ=2..る Shaw thet the Show norm can not be pioen by Q scalor prodlcCt. 2.

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Q: Find a and b such that v = au + bw, where u = v = (7,2) a = b || || = (1, 2) and w = (1, -1).

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Q: 7. Let 4 -3 Is A diagonalisable, over R? over C? Evaluate A100 A.

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Q: Let w = (2, −2, 1) and v = (4, 5, −4). Solve for u if v + 5u =3w − u.

A: Simplification of the function helps to find the vector u. Component-wise operations help to get…

Q: Question 9 If u = (2 + i,1 + i,0) , then norm of u i.e, llull = v7. True False

A: given u=(2+i,1+i,0)

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 and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: Express the following as a linear combination of u = (4, 1, 6), v = (1, -1, 5) and w = (4, 3, 8).…

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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: Complete the two-column proof. Given: ZA= ZF, AC = FC Prove: ZB = ZE B Statements Reasons

A: Given: ∠A ≅∠FAC  ≅ FC…

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 v = ⟨−1,3⟩. Draw v, −2v, and 3v in standard position.

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Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: Express the following as a linear combination of u = (3, 1, 6), v = (1, -1, 8) and w = (5, 5, 7).…

A: Let's find.

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

A: Given  u = (-1,2,1) , v = (0,1,1)Find   (a) u+v      (b) 2v      (c) u-v      (d) 3u-2v

Q: ) Prove that Вiт.m) - I(z)(m) for m >0 22'T(m +) 2

A: We use the property of Beta function and relation between Beta and Gamma function to prove the…

Q: Determine whether A and B are independent, positively associated or negatively associated in each of…

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Q: Let A = 1 2 1 and v = If the entries of A and v belong to Z3, what is the third entry of Av? Answer:

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Q: 21 Let vi = 4 V2 = -7,V3 3 6 Does (V1, V2, V3) Sspan R?

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Q: .If a v x = b v x and a v x' = b v x', then prove that a = b.

A: boolean

Q: 2–3 Find |u X v and determine whether u X v is directed into the page or out of the page. 2. |v|= 5…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let z, w e C. Show that |2 + w? + |z – w? = 2(|2|2 + |w?). %3D

A: We will show the given result.

Q: Express the following as a linear combination of u=(2, 1, 3), v= (1, -1, 4) and w=(2, 8, 8). (5, 14,…

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Q: Express the following as a linear combination of u = (5, 1, 6), v = (1, -1, 5) and w = = (1, 5, 6).…

A: The given vectors are  u=(5,1,6)v=(1,-1,5)w=(1,5,6) We have to write the given vectors in linear…