The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v, v2, and va because 0 = Ov, + Ov, + Ova. This is called the trivial solution. Can you find a nontrivial way of writing O as a linear combination of the three vectors? (Enter youranswer in terms of v1, v2, and v3. If not possible, enter IMPOSSIBLE.)v1 = (1, 0, 1), v2 = (-1, 1, 2), v3 = (0, 3, 4)0 =Need Help?Read It

Let there exist a, b, c such that0=av1+bv2+cv3

The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors vi, V2, and v3 because 0 = Ov, + Ovz + 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 ya answer in terms of vi, V2, and V3. If not possible, enter IMPOSSIBLE.) v = (1, 0, 1), v = (-1, 1, 2), v3 = (0, 3, 4) 0 = Need Help? Read It

The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors vi, V2, and v3 because 0 = Ov, + Ovz + 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 ya answer in terms of vi, V2, and V3. If not possible, enter IMPOSSIBLE.) v = (1, 0, 1), v = (-1, 1, 2), v3 = (0, 3, 4) 0 = 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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