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Provide an Appropriate Response {v1,v2,v3}\left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\}

question 45

Multiple Choice

Provide an appropriate response.
-Suppose {v1,v2,v3}\left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\} is a basis for R3R ^ { 3 } . Which of the following statements are true?
I: Span {v2v1,v3v1}\left\{ \mathbf { v } _ { 2 } - \mathbf { v } _ { 1 } , \mathbf { v } _ { 3 } - \mathbf { v } _ { 1 } \right\} is a plane in R3\mathscr { R } ^ { 3 } .
II: Aff {v1,v2,v3}\left\{ \mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , \mathbf { v } _ { 3 } \right\} is the plane through v1,v2\mathbf { v } _ { 1 } , \mathbf { v } _ { 2 } , and v3\mathbf { v } _ { 3 } .

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