The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, va, and v, because 0 = Ov, + Ov, + Ov. 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,, v, and v. If not possible, enter IMPOSSIBLE.) v = (1, 0, 1), v2 = (-1, 1, 2), v3 = (0, 9, 2) Need Help? Read It
The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, va, and v, because 0 = Ov, + Ov, + Ov. 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,, v, and v. If not possible, enter IMPOSSIBLE.) v = (1, 0, 1), v2 = (-1, 1, 2), v3 = (0, 9, 2) Need Help? Read It
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...
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![The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v2, and v, 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,, v, and v. If not possible, enter IMPOSSIBLE.)
v = (1, 0, 1), v2 = (-1, 1, 2), v3 = (0, 9, 2)
0 =
Need Help?
Read It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F441e889b-72c5-4498-ae62-659bf91f72b8%2Fbf8e37c8-5a62-468a-8967-2597ad34cfb9%2Fcfqexza_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v2, and v, 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,, v, and v. If not possible, enter IMPOSSIBLE.)
v = (1, 0, 1), v2 = (-1, 1, 2), v3 = (0, 9, 2)
0 =
Need Help?
Read It
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