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

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 40E Chapter 1.9

Linear Algebra and Its Applications | 5th Edition

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

Linear Algebra and Its Applications | 5th Edition

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Problem 40E

PROBLEM 40E

[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 ℝ5 onto ℝ5. Justify your answers.

Step-by-Step Solution:
Step 1 of 3

Solution 40E

        Applying 14, +8, + 5and 13and also applying elementary row operations we reduce the matrix in the form

Fifth row has no pivot, so the volume of the matrix do not span . Thus the transformation T does not map on to

Step 2 of 3

Chapter 1.9, Problem 40E is Solved
Step 3 of 3

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

Linear Algebra and Its Applications was written by and is associated to the ISBN: 9780321982384. The answer to “[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.” is broken down into a number of easy to follow steps, and 35 words. Since the solution to 40E from 1.9 chapter was answered, more than 248 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Linear Algebra and Its Applications , edition: 5. The full step-by-step solution to problem: 40E from chapter: 1.9 was answered by , our top Math solution expert on 07/20/17, 03:54AM. This full solution covers the following key subjects: exercises, decide, mapping, given, justify. This expansive textbook survival guide covers 65 chapters, and 1898 solutions.

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