Let Hspan {v1, v2, V3, v4}. For each of the following sets of vectors determine whether H is a line, plane, or R.Select an Answer1.-3-5-12V3V4!!=-273Select an Answer v 2.-2-2-6, U2 =, V3-9%3D= va-2-2-6Select an Answer3.3618-3, V2 =-6, V3 =-9, V4 =-1871022

write the vectors in the matrix form and find the number of linearly independent vectors…

Answered: Let H = span {v1, V2, V3, V4}. For each…

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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Determine the vector 8a – 7b if a = -3i + 2j – 4k and b = 5i + 6j + 2k. 8a – 7b = help (vectors)
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)-
Let v = (1,0, -2), v2 = (-2, 1,7), v3 = (h,-3,–5) be three vectors in R. For what value(s) of h is v, spanned by v, and y,? Answer: h = -3 h+-2 Ch#2 ch = 2 The co FINISH REVIEW
a. Write the vector (8, 5, 30) as a linear combination of a₁ = (4, -4,1), d₂ = (4, -5, 5) and d3 = (0, -4,-4). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ +52 + 6ả3, which would be entered as 4a1 + 5a2 + 6a3. (8,5, 30) = b. Represent the vector (8,5,30) in terms of the ordered basis B = {(4,-4, 1), (4, −5, 5), (0, -4,-4)}. Your answer should be a vector of the general form . [(8, 5, 30)] B =
a. Write the vector (-4,-8, 6) as a linear combination of a₁ (1, -3, -2), a₂ = (-5,–2,5) and ẩ3 = (−1,2,3). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ + 5ả₂ + 6ẩ3, which would be entered as 4a1 + 5a2 + 6a3. (-4,-8, 6) = -3a1+a2+2a3 b. Represent the vector (-4,-8,6) in terms of the ordered basis = {(1, −3,−2), (-5, -2,5),(-1,2,3)}. Your answer should be a vector of the general form . [(-4,-8,6)] =

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Let H = span {v1, V2, V3, V4}. For each of the following sets of vectors determine whether H is a line, plane, or R. Select an Answer v 1. -3 -5 -1 , V2 7 , V3 , V4 3 -2 7 9. 3 Select an Answer 2. -2 -2 -6 -3 , V3 = -3 , V4 = -9 %3D ||