a. Write the vector (-5, 15, 12) as a linear combination of a the form 4a, + 5ã, + 6ã3, which would be entered as 4a1 + 5a2 + 6a3. (2, -5, 1), ā, = (1, -1, -5) and az = (5, -4, -5). Express your answer in terms of the named vectors. Your answer should be in (-5, 15, 12) = b. Represent the vector (-5, 15, 12) in terms of the ordered basis B = {(2, –5, 1) , (1, –1, –5), (5, -4, –5)}. Your answer should be a vector of the general form <1,2,3>. К-5, 15, 12)]в —
a. Write the vector (-5, 15, 12) as a linear combination of a the form 4a, + 5ã, + 6ã3, which would be entered as 4a1 + 5a2 + 6a3. (2, -5, 1), ā, = (1, -1, -5) and az = (5, -4, -5). Express your answer in terms of the named vectors. Your answer should be in (-5, 15, 12) = b. Represent the vector (-5, 15, 12) in terms of the ordered basis B = {(2, –5, 1) , (1, –1, –5), (5, -4, –5)}. Your answer should be a vector of the general form <1,2,3>. К-5, 15, 12)]в —
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 (-5, 15, 12) as a linear combination of a1 = (2, –5, 1), ā2 = (1, –1, –5) and āz = (5, –4, -5). Express your answer in terms of the named vectors. Your answer should be in
the form 4a, + 5a2 + 6ã3, which would be entered as 4a1 + 5a2 + 6a3.
(-5, 15, 12) =
b. Represent the vector (-5, 15, 12) in terms of the ordered basis B = {(2, –5, 1) , (1, –1, –5), (5, –-4, –5)}. Your answer should
a vector of the general form <1,2,3>.
[(-5, 15, 12)]3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2eee5fef-24c0-42d2-a99f-ec7ca4df2e97%2F46fc6c7c-a069-4ab6-ba41-2c0b6887dfa1%2Fv7m8xk7_processed.png&w=3840&q=75)
Transcribed Image Text:a. Write the vector (-5, 15, 12) as a linear combination of a1 = (2, –5, 1), ā2 = (1, –1, –5) and āz = (5, –4, -5). Express your answer in terms of the named vectors. Your answer should be in
the form 4a, + 5a2 + 6ã3, which would be entered as 4a1 + 5a2 + 6a3.
(-5, 15, 12) =
b. Represent the vector (-5, 15, 12) in terms of the ordered basis B = {(2, –5, 1) , (1, –1, –5), (5, –-4, –5)}. Your answer should
a vector of the general form <1,2,3>.
[(-5, 15, 12)]3
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