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Math / Linear Algebra and Its Applications 5 / Chapter 1.9 / Problem 38E

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

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Solved: PROBLEM 38E[M] In Exercises, let T be the linear

Chapter 1, Problem 38E

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QUESTION:

PROBLEM 38E[M] In Exercises, let T be the linear transformation whose standard matrix is given. In Exercises, decide if T is a one-to-one mapping. In Exercises, decide if T maps ?5 onto ?5. Justify your answers.

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QUESTION:

PROBLEM 38E[M] In Exercises, let T be the linear transformation whose standard matrix is given. In Exercises, decide if T is a one-to-one mapping. In Exercises, decide if T maps ?5 onto ?5. Justify your answers.

ANSWER:

SolutionStep 1In this problem we have to determine whether T is a one-to-one mapping or not.We know that “Let be a linear transformation. Then T is one-one if and only if the equation T(x)=0 has only the trivial solution”. ….. (1)Given

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