144-[v, v2 v ]Let v1V3- 6- 1V1and A =V342444a. 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?...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.A.(Type a whole number.)B. There are infinitely many vectors in {v1, V2, V3}.b. How many vectors are in Col A? Select the correct choice below and, if necessary, fill in the answer box within your choice.A.(Type a whole number.)B. There are infinitely many vectors in Col A. c. Is p in Col A? Why or why not?O A. p is not in Col A because A has too few pivot positions.В.p is not in Col A because the system A p is not consistent.Oc.p is in Col A because the systemAp is consistent.O D. p is in Col A because A has pivot positions in every row.

Answered: Image /qna-images/answer/ec0fca9a-e69e-4ea6-8ac0-9a8cdef8c5d1.jpg

Answered: 4 4 Let v, = - 3 V2 = 1 V3 = - 6 p = 1…

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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28. How are lines expressed as vectors? a. Express 2 points along the line as vectors from the origin, then dot product the vectors b. Express 2 points along the line as vectors from the origin, then cross product the vectors c. Express 2 points along the line as vectors from the origin, then subtract the vectors d. Express 2 points along the line as vectors from the origin, then add the vectors
33. Find the direction and magnitude of the vectors. a. A = (5.0 m) x + (-2.0 m) y, →>> →>> b. B = (-2.0m) x + (5.0 m) y, and (c) A + B. → a. A = (22 m) x + (-14 m) y, b. B = (2.5 m) x + (13 m) ỹ, and (c) A + B. • For the vectors given in Problem 34, express (a) A – B and (b) B – A in unit vector notation.
Assume v1 = [3,-2] and v2 = [-1,4]. Find the sum and difference of vectors v1 and v2. v1 + v2 = [Answer,Answer] v1 − v2 = [Answer,Answer]
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)] =
Let v₁ = 5 ---- -4 48 1 0 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? 4 42 and A=[V₁ V₂ V3 ]-

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