All vectors and subspaces are inR n Justify each answer (T F) If W Span X 1 , X 2 , X 3 with X 1 , X 2 , X 3 linearly in dependent, and if V 1 , V 2 , V 3 is an orthogonal set in W, then V 1 , V 2 , V 3 ) is a basis for W

Question: All vectors and subspaces are inR n . Justify each answer. (T/F) If W = Span {X 1 , X 2 , X 3 }

All vectors and subspaces are inRⁿ. Justify each answer.

(T/F) If W = Span {X₁, X₂, X₃} with {X₁, X₂, X₃} linearly in- dependent, and if {V₁, V₂, V₃} is an orthogonal set in W, then {V₁, V₂, V₃) is a basis for W.

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