{x, v) E R² | x = y} u {(x, v) E R² | x = -2y}. V = Complete the following statements to determine if V is a subspace of R?. (a) V is ? If it is non-empty, give two different examples of vectors in V. If it is empty, then leave the following spaces blank. example 1: a = example 2: b = Note: Normally, only one example is required to show V is not empty in a proof. (b) V is ? v under vector addition. If it is not closed, enter two vectors a, b E V below, whose sum is not in V. If it is closed, then leave the following spaces blank. a = b = (c) V is ? v under scalar multiplication. If it is not closed, enter a scalar k and a vector c E V below, whose product is not in V. If it is closed, then leave the following spaces blank. k = and c = (d) V ? v of R?.

2 3 Can vector w = 3 be written as a linear combination of v₁ = 1, V₂ = 4 4 vector w belong to span{v₁,v,? 1 3? In other words does -2