7. Let--0--0--0--0--, V3 =V1V266a. How many vectors are in {V₁, V2, V3}?b. How many vectors are in Col A?c. Is p in Col A? Why or why not?11,and A = [V₁ V2 V3].L

Answered: Image /qna-images/answer/4af6e949-0e81-41e0-a081-f1aebcc55e27.jpg

Answered: 7. Let -3 6 -0--0-0-H [-] 8, V3 11 a.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Express w as a linear combination of u and v. 3 u= --[2] = V 4 6 W = - 6 6
Let u = : (3, 6, 2), v = (6, 7, −2), w = (24, 33, h + 0). Determine the value for h so that w is in the span of the vectors u and v. h = Determine the value for h so that u is in the span of the vectors v and w. h = 1. If h equals the value in the first question above, determine whether or Select an Answer not the set {u, v, w} is linearly independent.
Determine a so that the vector u = {6,3} is a linear combination u = av+bw of vectors v = {-3, 3}, w = {1,2}? Explain please. Possible answers:1. a = -22. a = 13. a = -14. a = -3 5. a = 3
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7. Let +-() वे = -2 and -4 2 3 Find a real number x and a vector such that = -x and 17.
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Q7) True or False, and Justify your answer. If v1, v2, ... V4 are in R* and v3 = 2v1 + v2, then {v1, V2, V3, V4} is linearly independent.
3 3. Let V = 5. Find vectors b₁,b2, b3 such that is a linear combination of b₁,b₂, b3. Additional -H conditions are that b₁,b₂, b3 should have only non-zero entries and be linearly independent. Explain your thinking using complete sentences.
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Let V₁ 0 1 -~~- 0 5 -6 42 2 H - 3 15 A. a. How many vectors are in {V₁, V₂, V3}? b. How many vectors are in Col A? c. Is p in Col A? Why or why not? dA=[V₁ V₂ V3 ]. and a. How many vectors are in {V₁, V₂, V3}? Select the correct choice below and, if necessary, fill in the answer box within your choice. (Type a whole number.) B. There are infinitely many vectors in {V₁, V₂, V3)-

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7. Let -3 6 -0--0-0-H [-] 8, V3 11 a. How many vectors are in {V₁, V2, V3}? b. How many vectors are in Col A? c. Is p in Col A? Why or why not? V1 2 V2 , and A = [V₁ V₂ V3].