Let W = (x, y, z) Prove that W is a subspace of ∈ℝ

How can I resolve this?

Question

Mathematics

Osvaldo Carroll

22 March, 17:15

Let W = (x, y, z) Prove that W is a subspace of ∈ℝ

How can I resolve this?

+3

Answers (1)

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Virginia Nolan · Answer 1

W is not a subspace.

Step-by-step explanation:

Notice that (-1,2,2) and (-1,5,3) are both elements of W. Because its x coordinate, x = - 1, satisfy the condition |x| = 1.

but (-1,2,2) + (-1,5,3) = (-2,7,5) do not belongs to W. Because its first coordinate, x = -2, do not satisfy |x| = 1.

Let W = (x, y, z) Prove that W is a subspace of ∈ℝHow can I resolve this?

Let W = (x, y, z) Prove that W is a subspace of ∈ℝ

How can I resolve this?