Suppose v 1 v 2 v 3 is a basis for R 3 Show that Span v 2 v 1 , v 3 v 1 is a plane in R 3 What can you say about u and v when Span u v is a plane

Question: Suppose {v 1 ; v 2 ; v 3} is a basis for R 3 . Show that Span {v 2 v 1 ,

Suppose {v₁; v₂; v_3} is a basis for R³. Show that Span {v₂– v₁, v₃– v₁} is a plane in R³. What can you say about u and v when Span {u; v} is a plane?

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