The coordinates of the vector x= (7,5, – 16) in the basisB={v=(-1,0,3), u=(0, - 5,2),w=(2,0,1)} are: OA (7.5,-16) OB.(-1.0, 2) OC. All the choices in this list are not correct. OD.(-5, -1, 1) OE. (2-3. 4)

Q: Find the coordinate vector of p relative to {p,» P;» P3} for P,. the basis S =

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Q: (b) The general fact that fcu++eUn]e== c\]j + .. + ca[vn]s allows for rewriting the equation above…

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Q: The coordinates of the vector x= (6, – 3, – 1) in the basis B = {v=(2,0,1),u=(0,-3,2),w = (0,0,1))…

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Q: Find the coordinate vector of ?=(3,−7) relative to the basis ?={?1,?2} for ℝ2 if ?1=(1,1),?2=(0,2)

A: 1012 x = 3-71x = 3 and 1x + 2y = -7 Thus we get x = 3 Substitute in second equation, we get 2y = -10…

Q: 21. Find the coordinate vector of x = with respect to the basis B = {v1, V2, V3} where vi =|1 V2 =…

A: Write x in linear combination of v1 , v2 , v3

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Q: Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (-14, –23, 7);…

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Q: Find the coordinate vector (v)s relative to the basis S={v,,V2,V3} for v = (2, 1, -2), if V= (2, 2,…

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Q: The vector (-1, 5, 3) is orthogonal to vector : Select one: О а. (0, 1, -2) O b. (-1, 1, -2) О с.…

A: Two non-zero vectors are orthogonal to each other if their dot product is equal to zero.

Q: P, find the change-of-coordinates matrix from the basis In B = {1 – 2t + t², 3 – 5t + 41², 2t + 3t²}…

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Q: The set S = {v1, V2, V3} where vị = (-1,1,1), v2 (1,-1,1), v3 = (1,1,-1) is a The vector v whose…

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Q: Find the coordinate vector of p relative to the basis S = {p1, P2, P3 } for P2. p = 2 – 3x + 2x² ;…

A: Question from linear algebra.

Q: The vectors --[+]»-[i]»-[3]m² -]»-[3]»=[] V2 = span R2 but do not form a basis. Find two different…

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Q: Express the vector (4, 7, -2) as a combination of the standard basis vectors i = (1, 0, 0), 3 = (0,…

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Q: The coordinates of vector x = (3, -2, 4) relative to basis B = { (0, -3, 4) , (1, 0, 0) , (0, 4, 3)…

A: A vector is a mathematical quantity which obeys the set of axioms. In general vectors are…

Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2}:

A: Let us consider a vector V  with the basis b1,b2,......bn then any vector v∈V is written as linear…

Q: Find all values of b for which the vectors are orthogonal 〈b, 3, 2〉,〈1, b, 1〉

A: Concept - If two vectors say u and v are orthogonal, then their dot product is equals to zero.That…

Q: Find the coordinate vector [x]g of x relative to the given basis B= {b, , b2}. 3 2 b, ,b2 2 -7 - 5

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Q: Find the coordinate vector of v relative to the basis S = {v1,v2, V3} for R3. v = (-11,–17, 7) (3,0,…

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Q: 1. Consider the vectors (2, 1,0, 2], [3, 1, 0, 1], [1, 1,0, -1] in R'. Decide whether they…

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Q: 9. V =|-1 Write the vector as the linear combination of the basis vectors 3 4 and u, =|- 3 u, = 2…

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 1 3 - 2…

A: To find  The vector X determined by the given coordinate vector [X]_B and the given basis B.

Q: Find the terminal point Q of the vector v = 7i-j+3k given the initial point is P(-2, 3, 5) О (5, 2,…

A: In this question we have to find the terminal point of Q.

Q: Find the coordinate vector of v = [2 -7 7] relative to the ordered basis B = ( [1 0 1], [0 1 1], [2…

A: ANSWER:

Q: Find the coordinate vector of p(x) in P., relative to the basis S= {p,.P.-P;}, where p(x) =…

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Q: The z-coordinate of the terminal point of the vector v=-5i-19k whose initial point is (-1,-4,-5) is

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Q: The coordinates of the vector= (4,9,1) in the basis B=(v=(2,0,1),u%= (0, - 3,2),w= (0,0,1)} Of R3…

A: For the solution of the problem follow the next step.

Q: #7. Given that the three 3-dimensional vectors v1 = (- 1,3, - 4), v2 = (3, – 8, 10), v3 = (2, – 9,7)…

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Q: Which of the following pairs of vectors are orthogonal? Our(1, 1, -1), v 2, 2, 2 ) Ou(1,0, -1), v(…

A: Two vecors are orthogonal if their dot product comea out to be zero.

Q: Find the coordinate vector of w relative to the basis S = {u1, u2} for R2. : (6, – 6), u2 = (2, 2);…

A: Here we have to find the coordinate vector of w relative to the basis S ={u1,u2} for R2 . Here…

Q: Find the coordinate vector of v relative to the basis S = {v1, v2, V3} for R3. v = (-11,–17,7) V1 =…

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Q: Find the coordinate vector of v relative to the basis S = {v,, V2, V3} for R³. (b) v = (5, –12, 3);…

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. -4 [x] B% =…

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Q: 1. Consider the vectors [2, 1,0, 2), [3, 1, 0, 1), [1, 1,0, -1) in R. Decide whether they…

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Q: Consider the points C(3,-2,0), D(-1,5,-1). Let b be the vector with representation CD. Write b in…

A: Ans:

Q: Find the coordinate vector of a -2 with respect to the basis B %3D for R.

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Q: 2. Consider the vectors v1= (-1, 2, 1), v2= (-2, 4, 2), and v3= (-3,6, 3). (a) Are the vectors…

A: As per our company guidelines we are supposed to answer only the first 3 subparts. Kindly re post…

Q: 4 Find the coordinate vector of b=|-2 relative to the ordered basis B= 1

A: The coordinate vector of a vector b = ( p, q, r )T realtive to the ordered basis B = { xT , yT , zT…

Q: 2) Find the coordinate vector [x]p of x relative to the basis B={b1, b2}: [-3] bị = G.b2 = x =G

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Q: Find the coordinate vector (v)s relative to the basis S= {v ,,v,,v;} 21 for v = (2, 1, -2), if V=…

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Q: Find the coordinate vector of v relative to the basis S = {V1, V2, V3 } for R3. v = (11, 3, 8); vị =…

A: Find coordinate vector of v relative to basis S

Q: Find the coordinate vector [x]R of the vector x relative to the given basis - 25 b = 5 , b2 = -3 , x…

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Q: 3 Find the coordinate vector of x = -2 with respect to the basis -2 В 1 for R³. 6. incorrect orrect…

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Q: . Find the coordinates of the vector v relative to the ordered basis B. a) B = {x² + 2x +2, 2x…

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Q: Given vectors v1 = (3,0,0), v2 = (1,2,0), and v3 = a) Are the vectors linearly independent or…

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Q: Determine if the vector x̄=(-12i-j-5k) can be expressed as a linear combination of ū=(1,-1,0),…

A: The solution of the problem is given in the next steps.

Q: Find the coordinate vector for the vector v = (3,4,3) relative to the basis S={(3,2,1), (-2,1,0),…

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Q: The coordinates of the vector x= (2,15, – 7) in the basis B= (v=(2,0, 1) ,u=(0, – 3,2),w=(0,0, 1) }…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the vector x determined by the given coordinate vector [x]; and the given basis B. 3 - 3 4 2 B…

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Q: The coordinates of the vector x= (2,15, – 7) in the basis B={v=(2,0,1),u=(0, – 3,2), w= (0,0, 1)} of…

A: We will first suppose the coordinates to be c1, c2 and c3. Then express x in terms of these…