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Proof When V is spanned by {v1, v2, . . . , vk}and one of

Chapter 4, Problem 4.4.72

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QUESTION:

Proof When V is spanned by {v1, v2, . . . , vk}and one of these vectors can be written as a linearcombination of the other k 1 vectors, prove that thespan of these k 1 vectors is also V

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QUESTION:

Proof When V is spanned by {v1, v2, . . . , vk}and one of these vectors can be written as a linearcombination of the other k 1 vectors, prove that thespan of these k 1 vectors is also V

ANSWER:

Step 1 of 2

Let  be any vector in .

 is spanned by , then  can be written as

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