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In Fn , let ej denote the vector whose jth coordinate is 1 and whose other coordinates

Chapter 1, Problem 4

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QUESTION:

In Fn , let ej denote the vector whose jth coordinate is 1 and whose other coordinates are 0. Prove that {ei,e 2 ,... ,e n } is linearly independent.

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QUESTION:

In Fn , let ej denote the vector whose jth coordinate is 1 and whose other coordinates are 0. Prove that {ei,e 2 ,... ,e n } is linearly independent.

ANSWER:

Step 1 of 3

It is given that is the vector whose coordinate is  and whose other coordinates are, so it follows:

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