The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v2, and vz because 0 = Ov, + Ov, + Ov3. This is called the trivial solution. Can you find a nontrivial way of writing o as a linear combination of the three vectors? (Enter your answer in terms of v,, V2, and v3. If not possible, enter IMPOSSIBLE.) v = (1, 0, 1), v2 = (-1, 1, 2), v3 = (0, 7, 4) 0 = Need Help? Read It
The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v2, and vz because 0 = Ov, + Ov, + Ov3. This is called the trivial solution. Can you find a nontrivial way of writing o as a linear combination of the three vectors? (Enter your answer in terms of v,, V2, and v3. If not possible, enter IMPOSSIBLE.) v = (1, 0, 1), v2 = (-1, 1, 2), v3 = (0, 7, 4) 0 = Need Help? Read It
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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Transcribed Image Text:The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors
V21
and
V3
because 0 =
Ov, + Ov, + Ov3. This is called the trivial solution. Can you find a nontrivial way of
writing 0 as a linear combination of the three vectors? (Enter your answer in terms of v,, vɔ, and v3. If not possible, enter IMPOSSIBLE.)
V1 = (1, 0, 1), v2 = (-1, 1, 2), V3 = (0, 7, 4)
0 =
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