The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v, V2, and v, because 0 = 0v, + 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 answ in terms of v, v2, and vz. If not possible, enter IMPOSSIBLE.) v, = (1, 0, 1), v, = (-1, 1, 2), v = (0, 1, 2)

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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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, + 0va. 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), v, = (-1, 1, 2), v3 = (0, 1, 2)
0 =
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, + 0va. 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), v, = (-1, 1, 2), v3 = (0, 1, 2) 0 =
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