0 1 0 S = {(1 3)·(¦¯¯^¹)· (² ¦ ). ( -º2³)} 03 4 0 23 2 is independent or not and if it is not, select a basis from it for Span(S). Use methods from section 3.3.

Q: Question 6 Let A' = [-4 16 8] and B' = [-1 x² 21 For which real value(s) of x are vectors A and B…

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A: Given:Aim:To find the angle , between  Formula Used:The formula to find the angle between any two…

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Q: Let v = [2 10. (a) How many vectors does Span {v} contain? (b) List a few vectors in Span {v} and…

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Q: Let a = (-4, 3, 4) and b = (-5, 2, 3), then find the decomposition a = a +a of a with respect to b a…

A: Ggg

Q: 8. If it [13,7.-2] is orthogonal to v v=[-5, k.7], determine the value(s) of k.

A: Given query is to find the value of k.n

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Q: 39. For each condition, find unit vectors å and b or explain why no such vectors exist. (a) |a+헤-0…

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Q: Which matrix could be used to rotate a vector 64 degrees clockwise about the origin? cos (-64) sin…

A: we have to find  matrix could be used to rotate a vector 64 degrees clockwise about the origin.

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A: NOTE: Refresh your page if you can't see any equations. . given vectors are write both vectors in…

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Q: Find a vector v in space that has the magnitude ||v|| = 1/₁0 cos(a) > 0, cos(B) = cos(y) = and…

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Q: One of the following vectors lies in span{ 2+x + æ2, 3+-2a2} (A) 5 + 3x + 4x2 (B) 5 + 3x + 5æ? (C) 5…

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Q: The vector v = -2 is orthogonal with 1 a) (-1 -6 7) b) (-1 6 -7) c) (-1 -6 -7) d) (1 -6 -7)

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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

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Q: ^2

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Q: 4 r 1 by -1 -2 -3 -4 -5 -4 -3 -2 -10 1 2 3 4 5

A: First we find p, q, r and s. Then solve it.

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Q: Find the vector x determined by the given coordinate vector [x] and the given basis B. 8= 6 -6 X =…

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Q: Consider an inner product on two P₂ vectors as (f, g) = f(-1)g(-1) + f(0)g(0) + f(2)g(2): 1) (−4 +…

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Q: v1 = (- 3.7) and v2 = (5.5) vectors Does it form a base for R^2? Why is that?

A: Given V1=(-3,7) and V2=(5,5) To check V1 and V2 are basis for R2.

Q: Find the vector x determined by the coordinate vector -[-] -{]-[G]}- XB = and the basis B =

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Q: Determine whether vectors (-1,0,1,2),(1,0,-3,0),(1,0,0,0),(1,5,-1,-2) from the basis for R^4 Please…

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Q: (-9,6) Use matrices to reflect the vector the line y = x. ove

A: Topic:- algebra

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A: Scalar product of two vectors

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Q: (a) Suppose that a and b are two unit vectors in R^3, and a·b=11/24. Find the norm of the vector 4a+…

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Q: Show that the vectors (4-3) and (5,2) form a basis CF TR

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A: Given that we have two vectors with four components X= [ 1 5 9 5] Y= [ 4 8 3 6]

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