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Math / Linear Algebra and Its Applications 5 / Chapter 4.6 / Problem 24E

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

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Is it possible for a nonhomogeneous system of seven

Chapter 4, Problem 24E

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QUESTION:

Is it possible for a nonhomogeneous system of seven equations in six unknowns to have a unique solution for some right-hand side of constants? Is it possible for such a system to have a unique solution for every right-hand side? Explain.

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QUESTION:

Is it possible for a nonhomogeneous system of seven equations in six unknowns to have a unique solution for some right-hand side of constants? Is it possible for such a system to have a unique solution for every right-hand side? Explain.

ANSWER:

Solution 24EStep 1 of 3Consider a non-homogeneous system of 7 equations in 6 unknowns.Objective is to identify whether the non-homogeneous system have a unique solution for some right-hand side of constants.Also identify that whether it is possible for such a system to have a unique solution for every right-hand side.Yes, it is possible for a non-homogeneous system to have a unique solution for some right-hand side of constants.And No, it is not possible for such a system to have a unique solution for every right-hand side.

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