x Your answer is incorrect.Which of the following sets of vectors in R³ are linearly dependent?Note. Mark all your choices.(8, 9, -3), (24, 10, -3)(0, 7,-7), (0, 21, -21)(7,0, 8), (9, 5, 5), (7, 8, 3), (0, -8, 0)(-5.0, 6). (9, 1, 6), (8, 2,7)

We want to find linearly dependent vectors. We know that a set of vectors is said to be linearly…

Answered: Which of the following sets of vectors…

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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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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Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices. (8.9.-3), (24, 10, -3) (0,7,-7), (0, 21, -21) (7,0, 8), (9, 5, 5), (7.8, 3). (0, -8,0) (-5,0, 6), (9, 1, 6), (8, 2,7)