Question 7 1 -1 Let A = -2 –1 and let w be the column space of A. Write the vector v= 1 as the sum of a vector in w and a vector in w1. -1 1 1

Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

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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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Q: Write each vector as a linear combination of the vectors in S. (Use 5₁ and 52, respectively, for the…

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Q: Which of the following represents a combination of vectors to form ED as a resultant? C Ra Bran B…

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Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors ₁, ₂ in…

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Q: Find a non-zero vector in the column space of A. A = -8 4 -20 12 -25 -4 -6 -5 24 0 30

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Q: Consider the following vectors: a = V1 = V2 = 3 For each of the following vectors, determine whether…

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Q: Sketch 2v, -w, v+w, and 2v-w for the vectors in Figure 24. 5 y 4 3 v = (2,3) 2 1 w = (4, 1)

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Q: Express the vector t as a linear combination of the vectors u, v, and w. 1 - 2 4 t = 0 , u = 5 , v =…

A: We use the definition of the linear combination of vectors to answer the given question.

Q: Find the equations of the traces in the coordinate planes and sketch them z = x2 +9y2

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Q: Which of the following vectors is a particular solution to the equation? -4 -3 -9 -2 51 v2 -6 -6 -6…

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Q: Consider the following vectors: 3 -3 3 3 2 8 -1 For each of the following vectors, determine whether…

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Q: 27. Jul 16,0 =

A: Given data÷ Vector u is given by u=ucosθi+usinθj Or  u=<ucosθ,usinθ>

Q: 3. Add the vectors shown.

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given S={ s1 = (2,-1,3),   s2 =(5,0,4)} a) To write (-1,-2,2) as linear  combination of s1 and s2

Q: Find a representation of the vector AB= (11, -15) in R2 by giving appropriate values for the points…

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Q: -1 Let a = -1 and b = 1 be two vectors. What is a2b2-la b2?

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Q: -4 2 n = (-1, – 2) and D = 4 3 What is D· n? Enter your answer as a vector by filling in the boxes.

A: The vector <a, b> can also be written as ab. Multiply the vector -1-2 and given matrix in the…

Q: For each of the following sets of vectors, determine whether it is linearly independent or linearly…

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Q: Let A = space of A. Oh=2 Oh=-2 Oh-2 1 3 0 2 -1 Oh 2 2 2-2 Oh can be any real number. . Determine the…

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Q: Express the vector in the form v = vji + v2j + v3k. AB if A is the point (-9, -5, 5) and B is the…

A: A-9,-5,5 and B-4,-12,8

Q: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

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Q: Let W be the subspace of R spanned by the vectors -2 and Find the matrix A of the orthogonal…

A: Given that  W be the subspace of ℝ2 spanned by the vectors                           1-21  and…

Q: Find a vector orthogonal to both v and W. v = 3i + 2j + k, w = -5i - 5j - k 3i - 2j - 5k -3i + 2j -…

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Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

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Q: Given the vectors A = (–2, 1, 3), B = (–5, 3, 0) in R³, then B x A is 9i - 15 j + k -9i - 15 j - k…

A: Vector cross product

Q: Find the unit vector in the direction of the given vector. Write your answer in (a) component form…

A: According to our guidelines we can answer only 3 subparts or first questions. Kindly repost the…

Q: b1 bị If 2 b2 then C(A) contains all vectors b2 such that b3 O a. 2b2 = b1 and 3b3 = b1 O b. bz =…

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Q: 4. Let v = a b Describe the set H of vectors that are orthogonal to v.

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Q: -15 -20 as a linear combination of the vectors 11 Q write -15 A 11 -20 = 1 1 -0·8·6 1 4. + + -2 A -2…

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Q: V= Express the vector v x+ 6 -24 y. as a linear combination of and y - 5 3

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