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Answer: For each subspace in Exercises 1–8, (a) find a

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 7E Chapter 4.5

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 7E

Problem 7E

For each subspace in Exercises 1–8, (a) find a basis for the subspace, and (b) state the dimension.

Step-by-Step Solution:

Problem 7E

Step 1 of 3

Consider the following subspace:

(a)

The objective of the problem is to find the basis for subspace.

Write the subspace as,

Find the basis of Null, because it is equivalent to find the basis for the subspace.

The augmented matrix for the systemis

Step 2 of 3

Chapter 4.5, Problem 7E 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

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Answer: For each subspace in Exercises 1–8, (a) find a