Problem 3 Which of the following sets of vectors are linear independent? O(A)(1,1,0),(1,0,1),(0,1,1) O(B)(1,1,2,-2),(3,0,3,-4),(-1,2,1,0) O(C)(1,1,2,-2),(2,3,0,-1),(-1,2,1,0) O(D)(2,-2,2),(1,2,-1),(2,-5,4)

Q: (а) (4, — 1, 2), (-4, 10, 2) (Ъ) (—3,0, 4), (5, — 1, 2), (1, 1, 3) (c) (8, – 1, 3), (4,0, 1)

A: As per rules, we will solve first three subparts: a) Given vectors are   u=4,-1,2, v=-4,10,2. To…

Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). ,…

A: Find your answer below

Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: { (1, 2, 1), (2, 1, 5) , (1, –4, 7) } (i) Prove that is linear dependent subset of R³. (ii)…

A: A set is linearly dependent if and only if one vector is linear combination of other vectors.

Q: What if the vector v was [ 7, 11, 3]

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Q: Given the vectors a = (1, 2, 3) and b = (1, –1,2), what is the dot product a · b · a? 4 14 (7,1, –…

A: a=(1,2,3)  and b=(1,-1,2)a.b.a  is dot product of three vectors

Q: ach of the following sets of vectors in R³, say whether the vectors span R³. Support your ers with…

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Q: (i) Prove that { (1, 2, 1) , (2, 1, 5) , (1, –4, 7) } is linear dependent subset of R³. (ii)…

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Q: Decide whether the vectors [2,9,-1, 4, 7, 8, 10, 9], [11, 2, 5, -9, 0, 0, -1, 3], [4, 18, -2, 8, 14,…

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Q: et v₁ = (-1,1,2) and v₂ = (1,3,1). Which of the following vectors are in span{V₁, V2}? 6.10 A 21

A: We have to show that which of the given vectors are in span{v1,v2}.

Q: Problem 23. Determine if the following vectors are independent or dependent (a) the vectors are…

A: To find- The following vectors are dependent or independent.     Concept Used-  If the value of the…

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

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Q: 2. For each of the following sets of vectors in R³, say whether the vectors span R³. Support your…

A: “Since you have posted multiple questions with multiple sub parts,we will provide the solution only…

Q: 11. For what value(s) of r (if any) is the vector (-2, 14, r) a linear combination of the vectors…

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Q: Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many…

A: The data plotting helps to visualize the relationship between variables. A dot plot consists data,…

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