Evaluc F. ar,where F(x,y)=j ana C isthe part of the graphof y= 12x³ – x from (2,2) to (– 2, Select one: а. 3 b. Non of them С. 4 d. 2 е. 1

Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: Using the definition, argue that the vectors are linearly independent. -- () --- () b = 2 0 1

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Q: Show that (AB)T and BTAT are equal. 2 1 -2 ^ -|- 1 0 3 0-2 - and B = 3 2 3 -

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Q: 6) (Section 9.4) Given u = then иnit vector in the a direction of и is

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Q: a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the…

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Q: Which vector is collinear with [2, -3]? [2, -6] O [-4, 6] O(-2, -3] O [12, 18]

A: We have to find the vector

Q: how can one show that three vectors span R^3?

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Q: Assumptions of Nonparametric techniques?

A: The objective is to state the assumptions of Non-parametric techniques.

Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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Q: How do dual spaces in vector spaces influence the understanding of functional analysis

A: The concept of dual spaces plays a fundamental role in functional analysis and significantly…

Q: Use geometry to evaluate f(2x+5)dx

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Q: 9) (Section 9.4) Find the magnitude of vector u = -60i+11j

A: Given,   u = -60i+11jMagnitude of vector ; u=-602 + 112u = 3600+121  = 3721 =61

Q: Linear Algebra Determine the area of the parallelogram formed by the points (-3,1), (1,2), (2,-1),…

A: Let's find area of parallelogram.

Q: (2) Determine if the vectors are linear independent or linear dependent. Justify your answer. (a)…

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Q: 18) (Section 9.7) Find the cross product in space u = 3i – 2 j+4k v=i-3j-k

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Q: Show how to use Hausman Test B₁ B₂ under Ho Consistent, Efficient Consistent, less Efficient under…

A: The Hausman test is  used to decide whether the estimate of an unknown parameter is consistent or…