Question

Let the subset H of 3 defined by = {(, , ) ∊ 3 : 2 + 2 + 2 ≤ 1, , , ∊ } form a vector space or not.

Answer 1

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Answer 2

What about {αe1|α ∈ R} + {α. [1. 1. ] |α ∈ R} = R2? 3. In R3 prove that. { α. [2}. The zero polynomial, z(x) = 0, satisfies p + z = p as ai +0= ai for 0 ≤ i ≤ n. condition on a, b, c, d ∈ R so that S = {(x, y, z) | ax + by + cz = d} is a subspace of R3. Let S = {v1,...,vn} be a subset of a real vector space V . Define linear span of S as.