If the vector v = v1 <=2 2 of v₁ = 05 2 -20 [E] -2 can be written as a linear combination -12 v=a1 v₁ + a2 v₂. Which of the following is the value of a2? -2 and v₂ = O-5 O None of them 0 4 such that

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: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

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Q: Vector v is shown in the graph. -1 7 5 4 327 2 -1 -2 3 T 1 2 V 3 5 6 7 8 9 10 11 Which of the…

A: I have explained everything with in the solution. Please go through that.

Q: Solve the following vector equation:

A: Introduction: The graph of a system of two equations in two variables (x and y) is a pair of lines…

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 &lt;a, b&gt; can also be written as ab. Multiply the vector -1-2 and given matrix in the…

Q: a = 3 For each of the following vectors, determine whether it can be written as a linear combination…

A: In this question, we will determine whether it can be written as a linear combination of these…

Q: Which of the following sets of vectors are linearly independent? (Check the boxes for linearly…

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Q: Let A = -1 -3 3 and b = b₁ 8} Show that the equation Ax=b does not have a solution for some choices…

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Q: [3] Let a₁ = 2,a₂ = 12 9 a2 and b = -12] -10 -13 Is b a linear combination of a₁ and 2? O A. No, b…

A: Introduction: A linear combination of two or more vectors is the vector obtained by adding two or…

Q: Let A = 3 -12 and b = 39 7 -19 64 A linear transformation T : R² → R´is defined by T(x) = Ax. %3D…

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Q: -2 -B-8 Let u₁= -2 and ₂ = -20 -4 If W = Span {₁, 2}, determine whether each of the following…

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Q: Suppose a vector w R³ can be written as w = 5v₁ - 3v2 + 7v3, where V₁, V2, V3 are vectors in R³.…

A: Explanation of the answer is as follows

Q: Let a₁ = -4 a2 3 Write b as a linear combination of a₁, a2, and a3, if possible. b= -6 -2 3 " - a3 =…

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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: 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: Given that write -4 -2 -5 2 -3 -3 -2 5 3 2 [] -3 as a linear combination of the vectors [100 01 0 0…

A: Given that .We have to write  as a linear combination of the vectors .

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: 10 -2 -2 -2 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2, az}. - 16 Let A = 0 2…

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Q: 15 --0-0-0 , = -8 , and b = 29 -15 Let a₁ = 3 b = 2 a₁+ Is b a linear combination of a₁ and a₂? OA.…

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