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29 May, 11:23

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

How can I resolve this?

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  1. 29 May, 11:33
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    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.
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