1 Are the vectors 2 4 −4 2 -5 Choose linearly independent? 3 -1 - 0 and

Q: = Let -3 -1 -~--~--~--~--~- , V3 -5 1 , V₂ 2 0 combination of V₁, V2 and V3. 5 -26 , V4 -9 -1 -3…

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Q: 10 -00-0 7 12 5 -8- Are the vectors 6 and linearly independent? Explain! 8

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Q: Describe all least-squares solutions of the equation Ax = b. A = 01 b= 2 3 10 The least-squares…

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

A: A set of n vectors of length n is linearly independent if the matrix with these vectors as columns…

Q: -14 Given that write 3 -5 -3 -14 ] -5 = 2 -2 -3 1 0 0 −1 −1 as a linear combination of the vectors 1…

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Q: 12 2 Determine if the pair of vectors v₁ = 3 V₂ = =-3 are orthogonal. -5 3

A: We have to find whether the given two vectors are orthogonal or not?

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A: We are given the following vectors.

Q: Find a general set of solution vectors of х=-5 ха x₁ = x₁ + 3 x ₂ 2 2

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Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

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Q: 15. Which is the component form of the vector shown? -2- * (1, 2) -4 (-5, -3) O (4,-7) O (7.-4)

A: This question is related to vectors, we will solve it using given information

Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

A: Solution:-

Q: Let Is w a linear combination of the vectors V₁, V₂ and 3? choose 13 -14 -4 --[H], -- [5] -- [13] D…

A: Given that the vectors w=-146 , v1=5-4 ,  v2=-4-3 ,  v3=11 .

Q: Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span…

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Q: --8-9--8-- 7 1. Are the vectors u =| and w= 10 independent? 4 12 2 and 3 3 independent? 5 2. Are the…

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Q: Given the vectors A=2a + 5a +7a₂ X y B=-a +6a +3a_ y 2 Evaluate the following Ba-3A O-2.5021a…

A: Given: The given vectors are:                        A→=2ax+5ay+7az…

Q: "Given that 3 -4 = 5 -3+ 2 5 ܐ write 3 as a linear combination of the vectors -2 + 5 -3 -2 5 -4 1 2…

A: Here , a vector is given and now we have to represent it as a linear combination of three vectors .

Q: 6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

A: Given: 5,2,-1×2,-1,a=5,-12,-9

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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Q: write 4 Given that = 3 -5 4 2 3 4 as a linear combination of the vectors -5 4 -5+ -5 3 3 -2 5 -4 -3…

A: We will write  as a linear combination of the vectors

Q: :) What is a 2b2+|a.b|²? Let a = 0 and b = -2 0 2 be two vectors.

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Q: 4 16 -- 12 -21 4. Is the vector in the span of the vectors 10 12 -8 and 8 ? Explain!

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