Question: Suppose that 3 vectors v 1 , v 2 , v 3 R n satisfy the following: (i) { v 1 , v 2 }

Suppose that 3 vectors v1,v2,v3Rn satisfy the following:

(i) { v1,v2 } is linearly independent, and

(ii) {v1,v2,v3 } is linearly dependent.

(A) Can you please show me how to use the above definitions to explain why v3Span(v1,v2) .

(B) What is an example of v1,v2,v3Rn that satisfy conditions (i) and (ii)?

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