1. Determine if the givens sets are subspaces of Rn. For the subspaces of R", find a

basis of each subspace, determine its dimension and provide a geometric description if

possible.

(a) The parabola y = x² in R².

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=

(b) S₁ =

(c) S₂ =

a-b

b-d

a+b-2d

c-d

a, b, c, d ER of R¹.