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Math / Linear Algebra and Its Applications 5 / Chapter 1.3 / Problem 8E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

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Chapter 1, Problem 8E

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QUESTION:

PROBLEM 8EUse the accompanying figure to write each vector listed in Exercises 7 and 8 as a linear combination of u and v. Is every vector in ?2 a linear combination of u and v? Vectors w, x, y, and z

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QUESTION:

PROBLEM 8EUse the accompanying figure to write each vector listed in Exercises 7 and 8 as a linear combination of u and v. Is every vector in ?2 a linear combination of u and v? Vectors w, x, y, and z

ANSWER:

Solution:-Step1Given thatVectors w, x, y, and z Step2To findIs every vector in 2 a linear combination of u and vStep3We haveVectors w, x, y, and zParallelogram Rule for additionIf u and v are represented as points in the plane, then u+v corresponds

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