Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.) v = (4, −20, −16, −14), u1 = (1, −2, 1, 1), u2 = (−2, 1, 3, 1), u3 = (0, −3, −3, −3)

Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.) v = (4, −20, −16, −14), u1 = (1, −2, 1, 1), u2 = (−2, 1, 3, 1), u3 = (0, −3, −3, −3)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.CM: Cumulative Review Exercises

Problem 55CM

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Question

Write v as a linear combination of

u₁,

u₂,

and

u₃,

if possible. (If not possible, enter IMPOSSIBLE.)

v = (4, −20, −16, −14), u₁ = (1, −2, 1, 1), u₂ = (−2, 1, 3, 1), u₃ = (0, −3, −3, −3)

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