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 4d₁ +50₂ + 6d3, 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 <1,2,3>. [(8,5, 30)]=
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 4d₁ +50₂ + 6d3, 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 <1,2,3>. [(8,5, 30)]=
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 <1,2,3>.
[(8, 5, 30)] B =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F116c1d12-fe0a-4907-a7a2-0eb621274d1e%2Ff97eab71-d644-4eca-8df5-b44cf8f82cba%2F6ki07mi_processed.png&w=3840&q=75)
Transcribed Image Text: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 <1,2,3>.
[(8, 5, 30)] B =
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