Find the best approximation to z by vectors of the form c, v, + C, V2. 4 2 -5 1 1 z= 2 3 -1 The best approximation to z is (Simplify your answer.)

Q: Find the components of the subtraction p - q of the two vectors shown. P-q=0 X

A: The graph is shown as,

Q: Find the best approximation to z by vectors of the form c,v, + C2V2. 3 1 - 6 2 - 1 V2 = - 3 3 1 The…

A: Solution

Q: Find the best approximation to z by vectors of the form c, v, + C2 V2- 3 3 1 - 5 1 - 2 V2 = 4 - 2 3…

A: To Find the best approximation to z by vectors of the form c1v1+c2v2.

Q: 2 ·4 2 = and v -2 Let vi combination = 301 - 22 of these vectors. v 3 = be two vectors in R4.…

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Q: -2 -4 -5 Let vi = -1 v2 = -3 , V3 = -4 and w = 4 1 2 3 5 1. Is w in {v1, v2, V3}? Type "yes" or…

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Q: 15m Please explain how to get the i, j, k, vectors of A, B, and C.

A: To find the vectors A, B and C.

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Q: For what values of c are the vectors [-8, c, 4] and [c, c²,c] orthogonal?

A: For orthogonal,dot product of vectors is equal to zero.

Q: Which vectors (b1,b2, b3) are in the column space of A? Which combinations of the rows of A give…

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Q: , ö2= 03 = Are the vectors ü1, ö2 and ū3 linearly independent? choose If the vectors are…

A: Given vectors, v1   = 34 , v2 = -4-1 , and v3 = -811 v1 , v2 and v3 will be linearly independent if…

Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: Find the best approximation to z by vectors of the form c,vi + C2V2. 2 - 2 V2 1 4 3 2 The best…

A: We have to find out the best approximation to z by vectors of the form C₁ V₁ +C₂V2.

Q: Draw a picture of the following vectors, then calculate them algebraically. Make sure you label the…

A: Given: The three vectors:Vector Vector Vector Aim: Draw a picture of the vectors and  on a…

Q: 6. Prove that A ·B+ |A x B|< 2|A||B|| for arbitrary vectors A, B and C.

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Q: Find 3u, -5v, u + v, and 5u - 4v for the given vectors u and v. (Simplify your a u = i + j, v=i- j…

A: given vectors        u = i + j  and   v = i - j   then finding -   (1)  3u = 3 (i + j) = 3i +3j…

Q: Find x so that the vectors u and v below are perpendicular. 0 -7 u= 7 44 V= x -4 -7 x=0

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Q: Use the given vectors to compute u + v, u − v, and 5u − 3v. u = (5, −2),    v = (7, 6)

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 0. -2 t3D -5 W = 24 1 t= u+…

A: By Compearing the entries i have solves the problem

Q: Preform the indicated Operations for the given vectors. v= w= s= r= 3(v+2w)-s

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Q: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

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Q: Given vectors Y = (– 3, 2, — 2) and B = (0, 3, 5), solve for proj Y. B

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Q: Find the best approximation to z by vectors of the form c, v, + C2V2 4 -7 1 1 V2 = 2 z= 3 [-1] 4 1…

A: To find  The best approximation to Z by the vectors of the form c1v1+c2v2.

Q: 3. Find all real values of c such that the vectors and e+3 are linearly independent.

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Q: Linear algebra: please do q7, 9, 11 correctly and handwritten. Equ 6 is Vx= 0

A: We have to determine whether the given set is linearly independent or dependent

Q: 1 -3 8. Let vi V2 and v3 = be given vectors in R4. Which of the following vectors is a linear…

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Q: Find the value(s) of h for which the vectors are linearly dependent. Justify your answer. [:][ N 4 9…

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Q: Give 2 vectors of length 7 that are parallel to (-1, 2, –2).

A: Find the required vectors

Q: 4. Determine if the vectors are orthogonal, in the same direction, or neither. Briefly explain your…

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Q: What must be a if the vectors (1,-a,1,1). (-1,a+2,–2, a –1), (0,2, –1,a² +a-4) are linearly…

A: We have to solve given problem: