Let W be the set of all vectors in R² With second component equal to twice the first, that all vectors of the form (9,20) (a) Use the Test for a Subspace to show that W is a subspace of R². (6) Using the x-y plane to represent R² make a sketch of W.

Find the distance from the point x = (1, 5, -4) of R to the subspace W consisting of all vectors of the form (a, a, b).

Subspace U of R4 consists of all vectors orthogonal to both ܝܕ 3 -3 7 Find the dimension of U. Just write down the number in the box. and 0 5

Subspace W of R* is spanned by the vectors v1 = [1 – 2 3 – 1] and v2 = [1 1 – 2 3]1. - Then, what can be said about the subspace W? a) dim W = 1 b) dim W 2 c) dim W = 3 d) dim W = 4