Find the best approximation to z by vectors of the form c, v1 + C2V2. 3 3 6 15 - 1 V2= - 1 z= - 3 The best approximation to z is (Simplify your answer.) II

Q: If ā= 3x - 5y and b = -2x+9ỹ, write the vector 5ã-85 in terms of x and y

A: Given vector are a→=3x→-5y→   and b→=-2x→+9y→. We have to find the vector 5a→-8b→. Now, 5a→=53x→-5y→…

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Q: ONEGOToft, Q3: Express the sum of the Vectors AB and CD, givende four Points A(1,-1), B(2.0),…

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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: (b) Write the following vectors as linear combinations of 21, 22, and 23.

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Q: Let V₁ 12 [] -3 15 V₂ 12 H 3 2 = Are the vectors 7₁, 72 and 3 linearly independent? choose 15 + 3 H…

A: Given that the vectors v1=-1215-3 , v2=3-612  , v3=-1419-11  .

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A: This is the question from the vector space.

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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: 4. In a set B of 3 vectors each with 3 components, one of them is a linear combination of the other…

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Q: Please don't provide handwritten solution ..

A: Please comment down for any doubt. I hope my answer helps you.

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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 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: --8-9--8-- 7 1. Are the vectors u =| and w= 10 independent? 4 12 2 and 3 3 independent? 5 2. Are the…

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A: To determine the value of  for which the following vectors are linearly dependent.

Q: Compute uu, vou, and u U= V U= V u u u V U u u using the vectors u = (Simplify your answer.)…

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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: 3 3. Let V = 5. Find vectors b₁, 62, 63 such that is a linear combination of b₁, b₂, b3. Additional…

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Q: X-5x2 X ₂ = X₁ + 3 X₂

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Q: Express the vector - 6i- 2j-9k as a product of its length and direction. - 6i-2j-9k= 11 -[A-0-8] i+…

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Q: Compute u + v and u - 2v. - 5 u = - 2 , v = 1 4

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