thrwfewfew The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectorsV21andV3because 0 =Ov, + Ov, + Ov3. This is called the trivial solution. Can you find a nontrivial way ofwriting 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 =Need Help?Read It

Given vectors are v1 = (1, 0, 1) v2 = (-1, 1, 2) v3 = (0, 7, 4)

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

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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