Answer: cises 25–28, determine if the specified linear

Chapter 1, Problem 27E

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QUESTION:

In Exercises 25–28, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer.

The transformation in Exercise 19

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QUESTION:

In Exercises 25–28, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer.

The transformation in Exercise 19

ANSWER:

Solution:Step 1: In this problem, we have to show that the given transformation is one to one or onto for T is a linear transformation by finding a matrix that implements the mapping. Note that x1, x2,… are not vectors but are entries in vectors.

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