In Exercises 1-4, find the vector x determined by the given coordinate vector [x] and the given basis B. 1. 3 -4 -{[_³] · [¯~*]}, *** = B -5 6 5 - [3] =

Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). ,…

A: Find your answer below

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: A = [-2,4,-2,-4,        2,-6,-3,1,        -3,8,2,-3,        0,2,5,3]  Find a non-zero vector R^4…

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Q: y Suppose E (A, B) is controllable. Suppose a change of basis is performed so that we obtain a new…

A: As per the question we are given a controllable system as : ∑ ➞ (A, B) And after a change of…

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.

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: Determines whether or not the given set of vectors is a basis for the R² space. justify y answer A)…

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Q: Decide whether the vectors [2, 9, -1, 4, 7, 8, 10, 9], [11, 2, 5, -9, 0, 0, -1, 3], [4, 18, -2, 8,…

A: We have to decide whether the given vectors are linearly independent. Then, we can proceed further.

Q: Find the coordinate vector of a = [*]B= -10-30- 2 with respect to the basis B = for R³.

A: Given: It is given that, x→=42-4 and B=152, 01-6, 001. To find: We have to find the coordinate…

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: - (0·0-0-0) Is B: - a basis for R³? Explain how you know.

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Q: Find a basis of Span((1,-1,3,0), (2, 1, -2, -1), (3, 3, -7,-2)).

A: We have to find a basis of Span ((1,-1,3, 0), (2, 1, -2, -1), (3, 3, -7,-2)).

Q: 3) Let C be a basis that contains vectors (−2 + 1x + 1x2 + (−1) x3), (1 + (−2) x + 4x2 + 2x3), (−2 +…

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Q: Exercises 1-11 refer to the vectors in Eq. (14). 2 -2 b= 2 --[-]· ·-[3] [3] -[8] - [8] d (14) In…

A: According to guidelines we can solve only first one mentioned question.

Q: Consider a basis for a space given by vectors -5 0 -10 -4 2 -5 -10 0 -10 -2 6 0 Answer the following…

A: answer is in next step. please give a like!!!!

Q: (1 point) Are the vectors u = [152], [-5 1 -4 and w= -21 25 -28] linearly independent? Choose If…

A: The vectors u→,v→,w→ are said to be linear independent if au→+bv→+cw→=0 for a=0,b=0,c=0 The vectors…

Q: Given u = ( 5, -3, 8) and v (k, 2, 4) calculate k, by using only vector | = 2 7| concepts, where…

A: Topic = Vector

Q: Is the set swer. {(1,2,-1,3), (1,-1, 2, 0), (-2, 0, 6, 6)} a basis for R¹? Justify your an-

A: BASIS:A basis for a vector space over a field is a linearly independent spanning set. In other…

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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