Determine if the vectors are Linearly Independent or Linearly Dependent. -2 [1 -5 =|2.X2) = -3 ,x6) = 4 -13

Q: 3. Write ū= as a sum of vectors, one in the direction of and another orthoganal to a. ā= [3] 图

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

Q: Calculate [1, 2, 2] x [5, -5, -1] -

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Q: Let A = [a₁ a2 a3 a4], and suppose that x = (4, -7, 9, 1) is in null(A). Write a4 as a linear…

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Q: skip the first 3 thank you

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Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O None of…

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Q: Show that V1, V2, V3 are linearly independent, but V₁, V2, V3, V4 are not. Then express V4 as a…

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Q: Which of the following sets of vectors in R° are linearly dependent? Note. Mark all your choices. O…

A: We say a set of vectors v1, v2, ...., vn is linearly independent if…

Q: Eхample: *-? 3 -", -13 2 2. x, =[4 4 -are Determine if the vectors: linearly dependent or not.…

A: The linear dependency of vectors is solved as follows :

Q: 1 Y

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: PLease don't provide handwritten solution.

A: Step 1: Given that, u=[3,4,−5]v=[0,−6,4] To find w=2u−3v ,we first need to compute the scalar…

Q: Determine if b is in the span of the other given vectors. If so, express b as a linear combination…

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Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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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: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A: Set of vectors x1, x2, ...xk is independent vectors if for scalar a1, a2,..., an.…

Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

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Q: Consider the statement The set of vectors 5 -3 -4 -6 -5 0 -5 -4 2 6 5 11-6 10 -10 26 -5 is linearly…

A: The given statement, The set of vectors -5-4-3-4-1, -4-6-50-5, -3-42-6-1, 0151-6, 1110-1026-5 is…

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

A: Given : The given set is  S = {(2, -1, 3) , (5, 0, 4)}. To find : We have to write the following…

Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Find two linearly independent vectors perpendicular to the vector 2 -5 -9 D =

A: Two vectors are said to be perpendicular to each other if and only if their dot product is zero.

Q: a = (3, 2, 4), b = (-3, 3, 0), c = (0, 0, -2) %3D (a) Find a x (b x c). a x (b x c) = || %3D (b)…

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Q: Let a₁ = , a₂ = [2] and b = -7° -13 -8 s b a linear combination of a₁ and a₂? OA. b is not a linear…

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Q: Determine if the vector 2 b = 3 5 can be written as a linear combination of the vectors V₁ = 1 and…

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Q: Solve for all vectors X so that × X = .

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