Which of the sets W in Exercises 1 through 3 are subspaces o/R3

Chapter 3, Problem 1

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QUESTION:

Which of the sets W in Exercises 1 through 3 are subspaces o/R3?

Questions & Answers

QUESTION:

Which of the sets W in Exercises 1 through 3 are subspaces o/R3?

ANSWER:

Step 1 of 2

All three conditions must hold in order for W to be a subspace in  these are:

W contains the zero vectors in

If  and are contained in W, then so is

If is contained in W, then  so is  where k is scalar.

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