The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v,, 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, 6)
The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v,, 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, 6)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v,, 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), v, - (0, 9, 6)
0 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb1eb153-bd40-4f6d-b17d-dbea4b2f841a%2Fed78d596-bf4c-413e-9cd0-5cead1e6be3a%2Furwqrmr_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,, v,, 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), v, - (0, 9, 6)
0 =
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