a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 = (-1,2,3). Express your answer in terms of the named vectors. Your answe should be in the form 4ẩ₁ + 5a₂ + 6a3, 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 <1,2,3>. [(-4,-8,6)]=
a. Write the vector (-4,-8,6) as a linear combination of a₁ = (1,−3,−2), ẩ₂ = (-5, -2,5) and a3 = (-1,2,3). Express your answer in terms of the named vectors. Your answe should be in the form 4ẩ₁ + 5a₂ + 6a3, 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 <1,2,3>. [(-4,-8,6)]=
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 (-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 <1,2,3>.
[(-4,-8,6)] =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92856043-199e-49b6-95ce-27336f8d0cbd%2Ffc2a0e8b-3ee4-4f28-8124-8424a93e9025%2Fr363pnf_processed.png&w=3840&q=75)
Transcribed Image Text: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 <1,2,3>.
[(-4,-8,6)] =
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