Il- Let S be a subset of R, i.e., (SCR) defined by: = {(r,y, 2) ER : 2 = 2x - y}. 1- a) Show that S is a vector subspace of R'. b) Determine a basis of S and its dimension dim(S).

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.CR: Review Exercises
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Il- Let S be a subset of R, i.e., (SCR) defined by:
S:= {(r. y, 2) C R: 2 = 2x - y}.
1- a) Show that S is a vector subspace of R.
b) Determine a basis of S and its dimension dim(S).
Transcribed Image Text:Il- Let S be a subset of R, i.e., (SCR) defined by: S:= {(r. y, 2) C R: 2 = 2x - y}. 1- a) Show that S is a vector subspace of R. b) Determine a basis of S and its dimension dim(S).
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