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Math / Linear Algebra and Its Applications 5 / Chapter 4.5 / Problem 1E

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

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For each subspace in Exercises 1–8, (a) find a basis for

Chapter 4, Problem 1E

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QUESTION:

Problem 1E

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

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QUESTION:

Problem 1E

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

ANSWER:

Solution 1E

Step 1 of 3

Consider the following subspace,

(a)

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

Let any vector in, then

Thus, every vector in is a linear combination of vectors.

Therefore, the set of vectors spans the set.

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