1 4 Let b, = b2 = 0 , b3 = - 17 ,and S= (b,,b,,ba). Note that S is an orthogonal basis for R3. Write each of the given points as an affine combination of the points in 1 -4 1. 13 16 - 8 a. P = - 14 b. P2 = - 14 c. P3 = -3 16 4 -19 a. Write p, as an affine combination of the points in the set S, if possible. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. O A. P1 = b, + )b2 + b3 O B. It is not possible to write p, as an affine combination of the points in the set S. c. Write p, as an affine combination of the points in the set S, if possible. Select the correct choice below and, if necessary, fill in the answer boxes wi O A. P3 b, + b2+b3 O B. It is not possible to write p, as an affine combination of the points in the set S.

Q: 1 3 0 4 2 0 0 6. -2 1 0 1 0 0

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Q: Let b = (2, -4, 2). Let W be the hyperplane b-. (a) What is the dimension of W? (b) Find a basis for…

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Q: The vectors -4 THELB 2 and V3 = -4 form a basis for R³ if and only if k +- VI 7 -6 0 V2 13 -14 k

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A: Explain why S is not a basis for P2.S = {1, 2x, −4 + x2, 5x}

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Q: b, = b2 = , b3 = - 17 , and S = {b,,b2,b3}. Note that S is an orthogonal basis for R3. Wri - 4 13 16…

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Q: Why is this a basis?

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A: Since we have been given that a⇀ = <2, -3, -1> and b⇀ = <-5, -1, k>Our aim is to find…

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Q: Consider following five sets: 1. { , } { } II. { } III. IV. { , , } V. { , } Find all set(s)…

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Q: Q. If B = {e, = the usual basis R2. Determine its dual basis. ?? ده رده را( = (D, 1)} is

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Q: If a, az, az is an orthogonal basis for R and b = a,a, + aza, + agaz then afai eTa and find the…

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Q: The set B = {1+t², -t+t², 1+2t+t²} is a basis for P₂. Find the coordinate vector of p(t) = 5-6t+13t²…

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Q: If a, az, az is an orthogonal basis for R and b aa + azaz + azaz then O a. afai O b. afa Faz afa %3D

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Q: Can someone explain why the smaller et spans O W3 n the Corollary below orollary 1.7.1. If {v}} and…

A: Please check in the next step

Q: 11. Jack and Jill took a linear algebra exam. One of the questions was the following: Question: Let…

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Q: ?:R3 →R2,with? ?,?,? =(?+2?+3?,4?+?−2?) Find a basis for the image and state its dimension.

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Q: 1 31 3. Let S = }|2 [3. 3 2 a. Is span(S)=R³? b. Determine whether S is the basis of R³.

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Q: 9. Determine whether the set of vectors i (2,-1), (3,-2), (0, 1)} basis for TR? is

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