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Q: 1. Find the value for a and the value for b such that au + bv = w if u=(-2,3), v= (1,–3), and…

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Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

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Q: 66. If ||u|| = 2, ||v|| = √3, and u v = 1, find ||u + v.

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Q: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

A: If|u|= 3 and|v|= 6, find|u×v|and whether u×v points into or out of the page.

Q: if was T:R>R Linear identifier grandfathero kert O I mT

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Q: b. Solve the following equations using Cramer's Rule 4x + 2y = 10 Зх— 5у %3D 1

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Q: Let u (k, –5) and v = (1,–1). If proj,u = ¿v , find k. Answer:

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Q: by change of variable with u = e, evaluate [√ere da

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Q: Given a generic 2x2 matrix A, and a second 2x2 matrix C, show the following: d. Using property c…

A: In this question, concept of matrix operation is applied. Matrix  A matrix is a rectangular array…

Q: 3. Show that B = {0, 1, 2, 6, 9} is a difference set in Zjj. What are the parameters of the SBIBD…

A: For the given question ,t he first thing to do is to find the value of λ. Then, we will proceed…

Q: 4 5 18 26 16 30 (a) Determine the LU factors of A. (b) Use the LU factors to solve Ax₁ where 3.10.1.…

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Q: Let ā = 7i – 3 and 6 = 3ỉ – 73. Find ā - b

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Q: Given u and v as follows, calculate u + v, u – v, and v – u. 2 (a) u (b) и %3D 4 -3- 21

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Q: Let Z₁ Z1 If = 22 m= n = F/1, and Z₂ = -3-4i, -40 +-=-5 i, calculate m and n: n

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

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Q: If A is diagonalizable, then A is similar to D. Select one: O True O False

A: Given   if matrix a is diagonalizable then A is SIMILAR  to D

Q: A= 1-1-1 Anda diagonal D and an orthogonal mats P to which PT AP-D. The mas D should have to…

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Q: For what value of h is the following set linearly dependent? S = {2x +2, 2x² + 4x - 7, 2x² - 10x +…

A: According to the given data, find the value of h:

Q: (3) I= √(1-x²) ³² 203 x dx

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Q: Determine whether b can be written as a linear combination of a, and a2. In other words, determine…

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Q: and こ=< ,フ-<o,-1y. where %3D Pind マf(2)?

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Q: 5. А(4, 4), В(2, 1), C(2, -1), D(-4, -1)

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Q: Determine whether b can be written as a linear combination of a₁ and a2. In other words, determine…

A: Please refer to the solution in next step.

Q: Given u = - i+j, v = 10i-4j, and w= -8j, find proju (v + w).

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Q: Consider the following. 3D(6,-1,0) v = (-2, 3, 0) u = %3D Find u x v. Determine if uxvis orthogonal…

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Q: Given ü = (2,-3) and = (-2,5) find ü v %3D

A: Solution is done in step 2

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

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Q: If OA = [7, 0, -1] and OB = [0, 4, 1], find the magnitude of AB: O√65 √69 O 13 √ 68

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