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# Answer: For each subspace in Exercises 1–8, (a) find a ISBN: 9780321982384 49

## Solution for problem 7E Chapter 4.5

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 system is Step 2 of 3

Step 3 of 3

##### ISBN: 9780321982384

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