If possible, find a linear combination of the form w = a₁v₁ + a₂V₂ + a3V3 where w = (2, 1, 2), v₁ = (1, 2, 3), v₂ = (-1, 1, -2), and v3 = (1, 5, 4). (Give a ₁, 2, and az as real numbers. If w cannot be written as a linear combination of the other three vectors, enter DNE.) =([ (a₁a₂ a3) = |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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linar combin

If possible, find a linear combination of the form w = a₁₁ +²₂₂ +²3V3 where w =
w cannot be written as a linear combination of the other three vectors, enter DNE.)
(@₁₁@₂₁ ª 3) =
( [
(2, 1, 2), v₁ =
= (1, 2, 3), V₂
= (-1, 1, -2), and v3 = (1, 5, 4). (Give a, a, and a3 as real numbers. If
Transcribed Image Text:If possible, find a linear combination of the form w = a₁₁ +²₂₂ +²3V3 where w = w cannot be written as a linear combination of the other three vectors, enter DNE.) (@₁₁@₂₁ ª 3) = ( [ (2, 1, 2), v₁ = = (1, 2, 3), V₂ = (-1, 1, -2), and v3 = (1, 5, 4). (Give a, a, and a3 as real numbers. If
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