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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald
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cise 9. Is b in the range of the linear transformation x

Chapter 1, Problem 11E

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QUESTION:

PROBLEM 11ELet and let A be the matrix in Exercise 9. Is b in the range of the linear transformation x ?Ax? Why or why not?Exercise 9:Find all x in ?4 that are mapped into the zero vector by the transformation x ? Ax for the given matrix A.

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QUESTION:

PROBLEM 11ELet and let A be the matrix in Exercise 9. Is b in the range of the linear transformation x ?Ax? Why or why not?Exercise 9:Find all x in ?4 that are mapped into the zero vector by the transformation x ? Ax for the given matrix A.

ANSWER:

Answer: Step-1 : In this problem we need to determine if b is in the range of linear transformation .Matrix transformation : For each , T(x) is computed as A(x) and A is an matrix.The domain of T is when A has n columns and the codomain of T is when each column of A has m entries .The range of T is the set of all linear combinations of the columns of A because each image T(x) is of the form A(x). Range of T :The range of T is the set of all linear combin

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